发布求助
文献互助 智能选刊 最新文献

Annals of Global Analysis and Geometry最新文献

筛选
英文 中文
Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups 关于软Kähler流形、Bott-Chern和Aeppli上同调群的注记
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-04-24 DOI: 10.1007/s10455-023-09903-2
Ionuţ Chiose, Rareş Răsdeaconu
{"title":"Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups","authors":"Ionuţ Chiose,&nbsp;Rareş Răsdeaconu","doi":"10.1007/s10455-023-09903-2","DOIUrl":"10.1007/s10455-023-09903-2","url":null,"abstract":"<div><p>We provide a new cohomological obstruction to the existence of astheno-Kähler metrics on compact complex manifolds. Several results of independent interests regarding the Bott-Chern and Aeppli cohomology groups are presented and relevant examples are discussed.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09903-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41895506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds Pseudo-Kähler和爱因斯坦解流形上的伪sasaki结构
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-04-24 DOI: 10.1007/s10455-023-09894-0
Diego Conti, Federico Alberto Rossi, Romeo Segnan Dalmasso
{"title":"Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds","authors":"Diego Conti,&nbsp;Federico Alberto Rossi,&nbsp;Romeo Segnan Dalmasso","doi":"10.1007/s10455-023-09894-0","DOIUrl":"10.1007/s10455-023-09894-0","url":null,"abstract":"<div><p>The aim of this paper is to construct left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups. We consider the class of <span>(mathfrak {z})</span>-standard Sasaki solvable Lie algebras of dimension <span>(2n+3)</span>, which are in one-to-one correspondence with pseudo-Kähler nilpotent Lie algebras of dimension 2<i>n</i> endowed with a compatible derivation, in a suitable sense. We characterize the pseudo-Kähler structures and derivations giving rise to Sasaki–Einstein metrics. We classify <span>(mathfrak {z})</span>-standard Sasaki solvable Lie algebras of dimension <span>(le 7)</span> and those whose pseudo-Kähler reduction is an abelian Lie algebra. The Einstein metrics we obtain are standard, but not of pseudo-Iwasawa type.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09894-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47369709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Normalized Yamabe flow on manifolds with bounded geometry 几何有界流形上的归一化Yamabe流
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-04-19 DOI: 10.1007/s10455-023-09902-3
Bruno Caldeira, Luiz Hartmann, Boris Vertman
{"title":"Normalized Yamabe flow on manifolds with bounded geometry","authors":"Bruno Caldeira,&nbsp;Luiz Hartmann,&nbsp;Boris Vertman","doi":"10.1007/s10455-023-09902-3","DOIUrl":"10.1007/s10455-023-09902-3","url":null,"abstract":"<div><p>The goal of this paper is to study Yamabe flow on a complete Riemannian manifold of bounded geometry with possibly infinite volume. In case of infinite volume, standard volume normalization of the Yamabe flow fails and the flow may not converge. Instead, we consider a curvature normalized Yamabe flow, and assuming negative scalar curvature, prove its long-time existence and convergence. This extends the results of Suárez-Serrato and Tapie to a non-compact setting. In the appendix we specify our analysis to a particular example of manifolds with bounded geometry, namely manifolds with fibered boundary metric. In this case we obtain stronger estimates for the short time solution using microlocal methods.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09902-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44015268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Kummer-type constructions of almost Ricci-flat 5-manifolds 几乎Ricci平坦5流形的Kummer型构造
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-04-13 DOI: 10.1007/s10455-023-09900-5
Chanyoung Sung
{"title":"Kummer-type constructions of almost Ricci-flat 5-manifolds","authors":"Chanyoung Sung","doi":"10.1007/s10455-023-09900-5","DOIUrl":"10.1007/s10455-023-09900-5","url":null,"abstract":"<div><p>A smooth closed manifold <i>M</i> is called almost Ricci-flat if </p><div><div><span>$$begin{aligned} inf _g||text {Ric}_g||_infty cdot text {diam}_g(M)^2=0 end{aligned}$$</span></div></div><p>where <span>(text {Ric}_g)</span> and <span>(text {diam}_g)</span>, respectively, denote the Ricci tensor and the diameter of <i>g</i> and <i>g</i> runs over all Riemannian metrics on <i>M</i>. By using Kummer-type method, we construct a smooth closed almost Ricci-flat nonspin 5-manifold <i>M</i> which is simply connected. It is minimal volume vanishes; namely, it collapses with sectional curvature bounded.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09900-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45084153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Lax equation and weak regularity of asymptotic estimate Lie groups 渐近估计李群的Lax方程和弱正则性
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-04-05 DOI: 10.1007/s10455-023-09888-y
Maximilian Hanusch
{"title":"The Lax equation and weak regularity of asymptotic estimate Lie groups","authors":"Maximilian Hanusch","doi":"10.1007/s10455-023-09888-y","DOIUrl":"10.1007/s10455-023-09888-y","url":null,"abstract":"<div><p>We investigate the Lax equation in the context of infinite-dimensional Lie algebras. Explicit solutions are discussed in the sequentially complete asymptotic estimate context, and an integral expansion (sums of iterated Riemann integrals over nested commutators with correction term) is derived for the situation that the Lie algebra is inherited by an infinite-dimensional Lie group in Milnor’s sense. In the context of Banach Lie groups (and Lie groups with suitable regularity properties), we generalize the Baker–Campbell–Dynkin–Hausdorff formula to the product integral (with additional nilpotency assumption in the non-Banach case). We combine this formula with the results obtained for the Lax equation to derive an explicit representation of the product integral in terms of the exponential map. An important ingredient in the non-Banach case is an integral transformation that we introduce. This transformation maps continuous Lie algebra-valued curves to smooth ones and leaves the product integral invariant. This transformation is also used to prove a regularity statement in the asymptotic estimate context.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09888-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44535978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geodesics on a K3 surface near the orbifold limit 接近轨道极限的K3表面上的测地线
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-04-03 DOI: 10.1007/s10455-023-09898-w
Jørgen Olsen Lye
{"title":"Geodesics on a K3 surface near the orbifold limit","authors":"Jørgen Olsen Lye","doi":"10.1007/s10455-023-09898-w","DOIUrl":"10.1007/s10455-023-09898-w","url":null,"abstract":"<div><p>This article studies Kummer K3 surfaces close to the orbifold limit. We improve upon estimates for the Calabi–Yau metrics due to Kobayashi. As an application, we study stable closed geodesics. We use the metric estimates to show how there are generally restrictions on the existence of such geodesics. We also show how there can exist stable, closed geodesics in some highly symmetric circumstances due to hyperkähler identities.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09898-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47912407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Conformal Bach flow 保形巴赫流
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-03-30 DOI: 10.1007/s10455-023-09897-x
Jiaqi Chen, Peng Lu, Jie Qing
{"title":"Conformal Bach flow","authors":"Jiaqi Chen,&nbsp;Peng Lu,&nbsp;Jie Qing","doi":"10.1007/s10455-023-09897-x","DOIUrl":"10.1007/s10455-023-09897-x","url":null,"abstract":"<div><p>In this article we introduce conformal Bach flow and establish its well-posedness on closed manifolds. We also obtain its backward uniqueness. To give an attempt to study the long-time behavior of conformal Bach flow, assuming that the curvature and the pressure function are bounded, global and local Shi’s type <span>(L^2)</span>-estimate of derivatives of curvatures is derived. Furthermore, using the <span>(L^2)</span>-estimate and based on an idea from (Streets in Calc Var PDE 46:39–54, 2013) we show Shi’s pointwise estimate of derivatives of curvatures without assuming Sobolev constant bound.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44854729","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
Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields 偏对称2张量场协变导数散度下界的反例
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-03-21 DOI: 10.1007/s10455-023-09896-y
Stefano Borghini, Lorenzo Mazzieri
{"title":"Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields","authors":"Stefano Borghini,&nbsp;Lorenzo Mazzieri","doi":"10.1007/s10455-023-09896-y","DOIUrl":"10.1007/s10455-023-09896-y","url":null,"abstract":"<div><p>In Hwang and Yun (Ann Glob Anal Geom 62(3):507–532, 2022), an estimate for skew-symmetric 2-tensors was claimed. Soon after, this estimate has been exploited to claim powerful classification results: Most notably, it has been employed to propose a proof of a Black Hole Uniqueness Theorem for vacuum static spacetimes with positive scalar curvature (Xu and Ye in Invent Math 33(2):64, 2022) and in connection with the Besse conjecture (Yun and Hwang in Critical point equation on three-dimensional manifolds and the Besse conjecture). In the present note, we point out an issue in the argument proposed in Hwang and Yun (Ann Glob Anal Geom 62(3):507–532, 2022) and we provide a counterexample to the estimate.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09896-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49236501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime 渐近圆锥流形上的色散方程:低频区的时间衰减
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-03-06 DOI: 10.1007/s10455-023-09887-z
Viviana Grasselli
{"title":"Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime","authors":"Viviana Grasselli","doi":"10.1007/s10455-023-09887-z","DOIUrl":"10.1007/s10455-023-09887-z","url":null,"abstract":"<div><p>On an asymptotically conical manifold, we prove time decay estimates for the flow of the Schrödinger wave and Klein–Gordon equations via some differentiability properties of the spectral measure. To keep the paper at a reasonable length, we limit ourselves to the low-energy part of the spectrum, which is the one that dictates the decay rates. With this paper, we extend sharp estimates that are known in the asymptotically flat case (see Bouclet and Burq in Duke Math J 170(11):2575–2629, 2021, https://doi.org/10.1215/00127094-2020-0080) to this more general geometric framework and therefore recover the same decay properties as in the Euclidean case. The first step is to prove some resolvent estimates via a limiting absorption principle. It is at this stage that the proof of the previously mentioned authors fails, in particular when we try to recover a low-frequency positive commutator estimate. Once the resolvent estimates are established, we derive regularity for the spectral measure that in turn is applied to obtain the decay of the flows.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-023-09887-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47503903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to: Besse conjecture with positive isotropic curvature 修正：具有正各向同性曲率的Besse猜想
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2023-03-02 DOI: 10.1007/s10455-023-09892-2
Seungsu Hwang, Gabjin Yun
{"title":"Correction to: Besse conjecture with positive isotropic curvature","authors":"Seungsu Hwang,&nbsp;Gabjin Yun","doi":"10.1007/s10455-023-09892-2","DOIUrl":"10.1007/s10455-023-09892-2","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"63 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45678275","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
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信