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Annali di Matematica Pura ed Applicata最新文献

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A Jordan–Hölder type theorem for finite groups 有限群的乔丹-荷尔德类型定理
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-06 DOI: 10.1007/s10231-024-01456-w
Francesca Lisi
{"title":"A Jordan–Hölder type theorem for finite groups","authors":"Francesca Lisi","doi":"10.1007/s10231-024-01456-w","DOIUrl":"https://doi.org/10.1007/s10231-024-01456-w","url":null,"abstract":"<p>We introduce the notion of <span>(mathbb {P})</span>-subnormal subgroup in a finite group, which generalizes the one of subnormal subgroup. We prove an analogous of the well-known Jordan–Hölder Theorem for these subgroups and their related chains of subgroups.\u0000</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Foliated structure of weak nearly Sasakian manifolds 弱近萨萨基流形的叶状结构
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-03 DOI: 10.1007/s10231-024-01459-7
Vladimir Rovenski
{"title":"Foliated structure of weak nearly Sasakian manifolds","authors":"Vladimir Rovenski","doi":"10.1007/s10231-024-01459-7","DOIUrl":"https://doi.org/10.1007/s10231-024-01459-7","url":null,"abstract":"<p>Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak, allowed us to take a new look at the theory of almost contact metric manifolds. In this paper we study the new structure of this type, called the weak nearly Sasakian structure. We find conditions that are satisfied by almost contact manifolds and under which the contact distribution is curvature invariant and weak nearly Sasakian manifolds admit two types of totally geodesic foliations. Our main result generalizes the theorem by Cappelletti-Montano and Dileo (Ann Matem Pura Appl 195:897-922, 2016) to the context of weak almost contact geometry.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The theory of screws derived from a module over the dual numbers 从对偶数模块派生的螺钉理论
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-02 DOI: 10.1007/s10231-024-01458-8
Ettore Minguzzi
{"title":"The theory of screws derived from a module over the dual numbers","authors":"Ettore Minguzzi","doi":"10.1007/s10231-024-01458-8","DOIUrl":"https://doi.org/10.1007/s10231-024-01458-8","url":null,"abstract":"<p>The theory of screws clarifies many analogies between apparently unrelated notions in mechanics, including the duality between forces and angular velocities. It is known that the real 6-dimensional space of screws can be endowed with an operator <span>(mathcal {E})</span>, <span>(mathcal {E}^2=0)</span>, that converts it into a rank 3 free module over the dual numbers. In this paper we prove the converse, namely, given a rank 3 free module over the dual numbers, endowed with orientation and a suitable scalar product (<span>(mathbb {D})</span>-module geometry), we show that it is possible to define, in a canonical way, a Euclidean space so that each element of the module is represented by a screw vector field over it. The new approach has the effectiveness of motor calculus while being independent of any reduction point. It gives insights into the transference principle by showing that affine space geometry is basically vector space geometry over the dual numbers. The main results of screw theory are then recovered by using this point of view.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Variational inequality solutions and finite stopping time for a class of shear-thinning flows 一类剪切稀化流的变量不等式解和有限停止时间
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-30 DOI: 10.1007/s10231-024-01457-9
Laurent Chupin, Nicolae Cîndea, Geoffrey Lacour
{"title":"Variational inequality solutions and finite stopping time for a class of shear-thinning flows","authors":"Laurent Chupin, Nicolae Cîndea, Geoffrey Lacour","doi":"10.1007/s10231-024-01457-9","DOIUrl":"https://doi.org/10.1007/s10231-024-01457-9","url":null,"abstract":"<p>The aim of this paper is to study the existence of a finite stopping time for solutions in the form of variational inequality to fluid flows following a power law (or Ostwald–DeWaele law) in dimension <span>(N in {2,3})</span>. We first establish the existence of solutions for generalized Newtonian flows, valid for viscous stress tensors associated with the usual laws such as Ostwald–DeWaele, Carreau–Yasuda, Herschel–Bulkley and Bingham, but also for cases where the viscosity coefficient satisfies a more atypical (logarithmic) form. To demonstrate the existence of such solutions, we proceed by applying a nonlinear Galerkin method with a double regularization on the viscosity coefficient. We then establish the existence of a finite stopping time for threshold fluids or shear-thinning power-law fluids, i.e. formally such that the viscous stress tensor is represented by a <i>p</i>-Laplacian for the symmetrized gradient for <span>(p in [1,2))</span>.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge 带有仿射诺特电荷的不定拉格朗日欧拉-拉格朗日方程的固定能量解
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-23 DOI: 10.1007/s10231-024-01424-4
Erasmo Caponio, Dario Corona, Roberto Giambò, Paolo Piccione
{"title":"Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge","authors":"Erasmo Caponio, Dario Corona, Roberto Giambò, Paolo Piccione","doi":"10.1007/s10231-024-01424-4","DOIUrl":"https://doi.org/10.1007/s10231-024-01424-4","url":null,"abstract":"<p>We consider an autonomous, indefinite Lagrangian <i>L</i> admitting an infinitesimal symmetry <i>K</i> whose associated Noether charge is linear in each tangent space. Our focus lies in investigating solutions to the Euler-Lagrange equations having fixed energy and that connect a given point <i>p</i> to a flow line <span>(gamma =gamma (t))</span> of <i>K</i> that does not cross <i>p</i>. By utilizing the invariance of <i>L</i> under the flow of <i>K</i>, we simplify the problem into a two-point boundary problem. Consequently, we derive an equation that involves the differential of the “arrival time” <i>t</i>, seen as a functional on the infinite dimensional manifold of connecting paths satisfying the semi-holonomic constraint defined by the Noether charge. When <i>L</i> is positively homogeneous of degree 2 in the velocities, the resulting equation establishes a variational principle that extends the Fermat’s principle in a stationary spacetime. Furthermore, we also analyze the scenario where the Noether charge is affine.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140805224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polyharmonic hypersurfaces into complex space forms 将多谐超曲面转化为复杂空间形式
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-20 DOI: 10.1007/s10231-024-01452-0
José Miguel Balado-Alves
{"title":"Polyharmonic hypersurfaces into complex space forms","authors":"José Miguel Balado-Alves","doi":"10.1007/s10231-024-01452-0","DOIUrl":"https://doi.org/10.1007/s10231-024-01452-0","url":null,"abstract":"<p>We characterize homogeneous hypersurfaces in complex space forms which arise as critical points of a higher order energy functional. As a consequence, we obtain existence and non-existence results for <span>(mathbb{C}mathbb{P}^n)</span> and <span>(mathbb{C}mathbb{H}^n)</span>, respectively. Moreover, we study the stability of biharmonic hypersurfaces and compute the normal index for a large family of solutions.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On CLT and non-CLT groups 关于文化小组和非文化小组
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-15 DOI: 10.1007/s10231-024-01450-2
Marius Tărnăuceanu
{"title":"On CLT and non-CLT groups","authors":"Marius Tărnăuceanu","doi":"10.1007/s10231-024-01450-2","DOIUrl":"https://doi.org/10.1007/s10231-024-01450-2","url":null,"abstract":"<p>In this note, we prove that for every integer <span>(dge 2)</span> which is not a prime power, there exists a finite solvable group <i>G</i> such that <span>(dmid |G|)</span>, <span>(pi (G)=pi (d))</span> and <i>G</i> has no subgroup of order <i>d</i>. We also introduce the CLT-degree of a finite group and answer two questions about it.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Locally conformally product structures on solvmanifolds 索曼折线上的局部保角积结构
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-13 DOI: 10.1007/s10231-024-01449-9
Adrián Andrada, Viviana del Barco, Andrei Moroianu
{"title":"Locally conformally product structures on solvmanifolds","authors":"Adrián Andrada, Viviana del Barco, Andrei Moroianu","doi":"10.1007/s10231-024-01449-9","DOIUrl":"https://doi.org/10.1007/s10231-024-01449-9","url":null,"abstract":"<p>We study left invariant locally conformally product structures on simply connected Lie groups and give their complete description in the solvable unimodular case. Based on previous classification results, we then obtain the complete list of solvable unimodular Lie algebras up to dimension 5 which carry LCP structures, and study the existence of lattices in the corresponding simply connected Lie groups.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vertex-primitive digraphs with large fixity 具有大固定性的顶点原始数图
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-12 DOI: 10.1007/s10231-024-01447-x
Marco Barbieri, Primož Potočnik
{"title":"Vertex-primitive digraphs with large fixity","authors":"Marco Barbieri, Primož Potočnik","doi":"10.1007/s10231-024-01447-x","DOIUrl":"https://doi.org/10.1007/s10231-024-01447-x","url":null,"abstract":"<p>The relative fixity of a digraph <span>(Gamma )</span> is defined as the ratio between the largest number of vertices fixed by a nontrivial automorphism of <span>(Gamma )</span> and the number of vertices of <span>(Gamma )</span>. We characterize the vertex-primitive digraphs whose relative fixity is at least <span>(frac{1}{3})</span>, and we show that there are only finitely many vertex-primitive digraphs of bounded out-valency and relative fixity exceeding a positive constant.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flow by Gauss curvature to the orlicz chord Minkowski problem 通过高斯曲率流向奥利奇弦线闵科夫斯基问题
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-04-10 DOI: 10.1007/s10231-024-01448-w
Xia Zhao, Peibiao Zhao
{"title":"Flow by Gauss curvature to the orlicz chord Minkowski problem","authors":"Xia Zhao, Peibiao Zhao","doi":"10.1007/s10231-024-01448-w","DOIUrl":"https://doi.org/10.1007/s10231-024-01448-w","url":null,"abstract":"<p>The <span>(L_p)</span> chord Minkowski problem based on chord measures and <span>(L_p)</span> chord measures introduced firstly by Lutwak et al. (Comm Pure Appl Math 1–54, 2023) is a very important and meaningful geometric measure problem in the <span>(L_p)</span> Brunn–Minkowski theory. Xi et al. (Adv Nonlinear Stud 23:20220041, 2023) using variational methods gave a measure solution when <span>(p &gt; 1)</span> and <span>(0&lt;p&lt;1)</span> in the symmetric case. Recently, Guo et al. (Math Ann 2023. 10.1007/s00208-023-02721-8) also obtained a measure solution for <span>(0le p&lt;1)</span> by similar methods without the symmetric assumption. In the present paper, we investigate and confirm the orlicz chord Minkowski problem, which generalizes the <span>(L_p)</span> chord Minkowski problem by replacing <i>p</i> with a fixed continuous function <span>(varphi :(0,infty )rightarrow (0,infty ))</span>, and achieve the existence of smooth solutions to the orlicz chord Minkowski problem by using methods of Gauss curvature flows.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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