| 题名 | Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume |
| 作者 | |
| 通讯作者 | Romaña，Sergio |
| 发表日期 | 2024-07-01
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| DOI | |
| 发表期刊 | |
| ISSN | 1575-5460
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| EISSN | 1662-3592
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| 卷号 | 23期号:3 |
| 摘要 | In this paper, we prove that if the geodesic flow of a complete manifold without conjugate points with sectional curvatures bounded below by -c is of Anosov type, then the constant of contraction of the flow is ≥e. Moreover, if M has a finite volume, the equality holds if and only if the sectional curvature is constant. We also apply this result to get a certain rigidity for bi-Lipschitz, and consequently, for C-conjugacy between two geodesic flows. |
| 相关链接 | [Scopus记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 通讯
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| Scopus记录号 | 2-s2.0-85185683857
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| 来源库 | Scopus
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| 引用统计 | |
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/729046 |
| 专题 | 理学院_数学系 |
| 作者单位 | 1.Departamento de Matemática-UFPI,Teresina,Ininga,64049-550,Brazil 2.Instituto de Matemática,Universidade Federal do Rio de Janeiro,Rio de Janeiro,CEP 21941-909,Brazil 3.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China |
| 通讯作者单位 | 数学系 |
| 推荐引用方式 GB/T 7714 |
Melo，Ítalo,Romaña，Sergio. Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume[J]. Qualitative Theory of Dynamical Systems,2024,23(3).
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| APA |
Melo，Ítalo,&Romaña，Sergio.(2024).Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume.Qualitative Theory of Dynamical Systems,23(3).
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| MLA |
Melo，Ítalo,et al."Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume".Qualitative Theory of Dynamical Systems 23.3(2024).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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