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Compact gradient Einstein-type manifolds with boundary 具有边界的紧致梯度爱因斯坦型流形
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-28 DOI: 10.1007/s11005-025-01937-w
Allan George de Carvalho Freitas, José Nazareno Vieira Gomes
{"title":"Compact gradient Einstein-type manifolds with boundary","authors":"Allan George de Carvalho Freitas,&nbsp;José Nazareno Vieira Gomes","doi":"10.1007/s11005-025-01937-w","DOIUrl":"10.1007/s11005-025-01937-w","url":null,"abstract":"<div><p>We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundary. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dirac products and concurring Dirac structures 狄拉克产品和并发狄拉克结构
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-26 DOI: 10.1007/s11005-025-01936-x
Pedro Frejlich, David Martínez Torres
{"title":"Dirac products and concurring Dirac structures","authors":"Pedro Frejlich,&nbsp;David Martínez Torres","doi":"10.1007/s11005-025-01936-x","DOIUrl":"10.1007/s11005-025-01936-x","url":null,"abstract":"<div><p>We discuss in this note two dual canonical operations on Dirac structures <i>L</i> and <i>R</i>—the <i>tangent product</i> <span>(L star R)</span> and the <i>cotangent product</i> <span>(L circledast R)</span>. Our first result gives an explicit description of the leaves of <span>(L star R)</span> in terms of those of <i>L</i> and <i>R</i>, surprisingly ruling out the pathologies which plague general “induced Dirac structures.” In contrast to the tangent product, the more novel cotangent product <span>(L circledast R)</span> need not be Dirac even if smooth. When it is, we say that <i>L</i> and <i>R</i> <i>concur</i>. Concurrence captures commuting Poison structures and refines the <i>Dirac pairs</i> of Dorfman and Kosmann–Schwarzbach, and it is our proposal as the natural notion of “compatibility” between Dirac structures. The rest of the paper is devoted to illustrating the usefulness of tangent- and cotangent products in general, and the notion of concurrence in particular. Dirac products clarify old constructions in Poisson geometry, characterize Dirac structures which can be pushed forward by a smooth map, and mandate a version of a local normal form. Magri and Morosi’s <span>(POmega )</span>-condition and Vaisman’s notion of two-forms complementary to a Poisson structures are found to be instances of concurrence, as is the setting for the Frobenius–Nirenberg theorem. We conclude the paper with an interpretation in the style of Magri and Morosi of generalized complex structures which concur with their conjugates.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The linearized Israel–Stewart equations with a physical vacuum boundary 具有物理真空边界的线性化Israel-Stewart方程
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-25 DOI: 10.1007/s11005-025-01931-2
Runzhang Zhong
{"title":"The linearized Israel–Stewart equations with a physical vacuum boundary","authors":"Runzhang Zhong","doi":"10.1007/s11005-025-01931-2","DOIUrl":"10.1007/s11005-025-01931-2","url":null,"abstract":"<div><p>In this article, we consider the Israel–Stewart equations of relativistic viscous fluid dynamics with bulk viscosity. We investigate the evolution of the equations linearized about solutions that satisfy the physical vacuum boundary condition and establish local well-posedness of the corresponding Cauchy problem.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01931-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Orthosymplectic Yangians 正交扬琴
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-22 DOI: 10.1007/s11005-025-01926-z
Rouven Frassek, Alexander Tsymbaliuk
{"title":"Orthosymplectic Yangians","authors":"Rouven Frassek,&nbsp;Alexander Tsymbaliuk","doi":"10.1007/s11005-025-01926-z","DOIUrl":"10.1007/s11005-025-01926-z","url":null,"abstract":"<div><p>We study the RTT orthosymplectic super Yangians and present their Drinfeld realizations for any parity sequence, generalizing the results of Jing et al. (Commun Math Phys 361(3):827–872, 2018) for non-super case, Molev (Algebras Representation Theory, 26, 2023) for a standard parity sequence, and Peng (Commun Math Phys 346(1):313–347, 2016), Tsymbaliuk (Lett Math Phys 110(8):2083–2111, 2020) for the super <i>A</i>-type.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143861255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the capacity of surfaces in asymptotically flat half-space 渐近平坦半空间中曲面的容量
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s11005-025-01928-x
Daniel Silva
{"title":"On the capacity of surfaces in asymptotically flat half-space","authors":"Daniel Silva","doi":"10.1007/s11005-025-01928-x","DOIUrl":"10.1007/s11005-025-01928-x","url":null,"abstract":"<div><p>The purpose of this work is to establish an upper bound for the capacity of the surface in a three-dimensional asymptotically flat half-space with nonnegative scalar curvature and mean convex boundary. If the equality holds, we show a rigidity result involving the half-Schwarzschild space. In order to prove our result we use the inverse of mean curvature flow for hypersurfaces with boundary.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rigidity of marginally outer trapped surfaces in charged initial data sets 带电初始数据集中边缘外捕获表面的刚性
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-15 DOI: 10.1007/s11005-025-01929-w
A. B. Lima, P. A. Sousa, R. M. Batista
{"title":"Rigidity of marginally outer trapped surfaces in charged initial data sets","authors":"A. B. Lima,&nbsp;P. A. Sousa,&nbsp;R. M. Batista","doi":"10.1007/s11005-025-01929-w","DOIUrl":"10.1007/s11005-025-01929-w","url":null,"abstract":"<div><p>We investigate marginally outer trapped surfaces (MOTS) <span>(Sigma ^2)</span> within a three-dimensional initial data set <span>(M^3)</span>, devoid of charge density, for the Einstein–Maxwell equations in the absence of a magnetic field and with a cosmological constant <span>(Lambda )</span>. Assuming <span>(Sigma )</span> to be a stable MOTS with genus <span>(g(Sigma ))</span>, we derive an inequality that relates the area of <span>(Sigma )</span>, <span>(g(Sigma ))</span>, <span>(Lambda )</span>, and the charge <span>(q(Sigma ))</span> of <span>(Sigma )</span>. In cases where equality is achieved, we demonstrate local splitting of <i>M</i> along <span>(Sigma )</span>. Specifically, in the scenario where <span>(Lambda &gt;0)</span>, we establish that <span>(Sigma )</span> forms a round 2-sphere. These findings extend the theorems of Galloway and Mendes to initial data sets featuring an electric field. Moreover, for <span>(Lambda &gt;0)</span>, we additionally demonstrate that these initial data sets can be locally embedded as spacelike hypersurfaces within the Charged Nariai spacetime.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weighted logarithmic Adam’s inequalities defined on the whole Euclidean space (mathbb {R}^{4}) and its applications to weighted biharmonic equations of Kirchhoff type 在整个欧几里德空间上定义的加权对数亚当不等式(mathbb {R}^{4})及其在Kirchhoff型加权双调和方程中的应用
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-07 DOI: 10.1007/s11005-025-01920-5
Sami Baraket, Brahim Dridi, Rached Jaidane, Wafa Mtaouaa
{"title":"Weighted logarithmic Adam’s inequalities defined on the whole Euclidean space (mathbb {R}^{4}) and its applications to weighted biharmonic equations of Kirchhoff type","authors":"Sami Baraket,&nbsp;Brahim Dridi,&nbsp;Rached Jaidane,&nbsp;Wafa Mtaouaa","doi":"10.1007/s11005-025-01920-5","DOIUrl":"10.1007/s11005-025-01920-5","url":null,"abstract":"<div><p>In this article, we establish a logarithmic weighted Adams’ inequality in some weighted Sobolev space in the whole of <span>(mathbb {R}^{4})</span>. As an application, we study a weighted fourth-order equation of Kirchhoff type, in <span>(mathbb {R}^{4})</span>. The nonlinearity is assumed to have a critical or subcritical exponential growth according to the Adams-type inequalities already established. It is proved that there is a ground-state solution to this problem by Nehari method and the mountain pass theorem. The major difficulty is the lack of compactness of the energy due to the critical exponential growth of the nonlinear term <i>f</i>.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic higher spin symmetries I: covariant wedge algebra in gravity 渐近高自旋对称I：重力中的协变楔代数
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-04-04 DOI: 10.1007/s11005-025-01921-4
Nicolas Cresto, Laurent Freidel
{"title":"Asymptotic higher spin symmetries I: covariant wedge algebra in gravity","authors":"Nicolas Cresto,&nbsp;Laurent Freidel","doi":"10.1007/s11005-025-01921-4","DOIUrl":"10.1007/s11005-025-01921-4","url":null,"abstract":"<div><p>In this paper, we study gravitational symmetry algebras that live on 2-dimensional cuts <i>S</i> of asymptotic infinity. We define a notion of wedge algebra <span>(mathcal {W}(S))</span> that depends on the topology of <i>S</i>. For the cylinder <span>(S={mathbb {C}}^*)</span>, we recover the celebrated <span>(Lw_{1+infty })</span> algebra. For the 2-sphere <span>(S^2)</span>, the wedge algebra reduces to a central extension of the anti-self-dual projection of the Poincaré algebra. We then extend <span>(mathcal {W}(S))</span> outside of the wedge space and build a new Lie algebra <span>(mathcal {W}_sigma (S))</span>, which can be viewed as a deformation of the wedge algebra by a spin two field <span>(sigma )</span> playing the role of the shear at a cut of <img>. This algebra represents the gravitational symmetry algebra in the presence of a non-trivial shear and is characterized by a covariantized version of the wedge condition. Finally, we construct a dressing map that provides a Lie algebra isomorphism between the covariant and regular wedge algebras.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the geometry of Lagrangian one-forms 关于拉格朗日一型的几何
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-29 DOI: 10.1007/s11005-025-01925-0
Vincent Caudrelier, Derek Harland
{"title":"On the geometry of Lagrangian one-forms","authors":"Vincent Caudrelier,&nbsp;Derek Harland","doi":"10.1007/s11005-025-01925-0","DOIUrl":"10.1007/s11005-025-01925-0","url":null,"abstract":"<div><p>Lagrangian multiform theory is a variational framework for integrable systems. In this article, we introduce a new formulation which is based on symplectic geometry and which treats position, momentum and time coordinates of a finite-dimensional integrable hierarchy on an equal footing. This formulation allows a streamlined one-step derivation of both the multi-time Euler–Lagrange equations and the closure relation (encoding integrability). We argue that any Lagrangian one-form for a finite-dimensional system can be recast in our new framework. This framework easily extends to non-commuting flows, and we show that the equations characterising (infinitesimal) Hamiltonian Lie group actions are variational in character. We reinterpret these equations as a system of compatible non-autonomous Hamiltonian equations.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01925-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decomposition of global solutions for a class of nonlinear wave equations 一类非线性波动方程整体解的分解
IF 1.3 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2025-03-28 DOI: 10.1007/s11005-025-01924-1
Georgios Mavrogiannis, Avy Soffer, Xiaoxu Wu
{"title":"Decomposition of global solutions for a class of nonlinear wave equations","authors":"Georgios Mavrogiannis,&nbsp;Avy Soffer,&nbsp;Xiaoxu Wu","doi":"10.1007/s11005-025-01924-1","DOIUrl":"10.1007/s11005-025-01924-1","url":null,"abstract":"<div><p>In the present paper, we consider global solutions of a class of nonlinear wave equations of the form </p><div><div><span>$$begin{aligned} Box u= N(x,t,u)u, end{aligned}$$</span></div></div><p>where the nonlinearity <i>N</i>(<i>x</i>, <i>t</i>, <i>u</i>)<i>u</i> is assumed to satisfy appropriate boundedness assumptions. Under these appropriate assumptions, we prove that the free channel wave operator exists. Moreover, if the interaction term <i>N</i>(<i>x</i>, <i>t</i>, <i>u</i>)<i>u</i> is localized, then we prove that the global solution of the full nonlinear equation can be decomposed into a ‘free’ part and a ‘localized’ part.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01924-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143716810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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