Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View
In the present paper, we study the geometry of infinitesimal conformal, affine, projective, and harmonic transformations of complete Riemannian manifolds using the concepts of geometric dynamics and the methods of the modern version of the Bochner technique.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/5/1114 |
| _version_ | 1797614904618778624 |
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| author | Lenka Rýparová Irena Hinterleitner Sergey Stepanov Irina Tsyganok |
| author_facet | Lenka Rýparová Irena Hinterleitner Sergey Stepanov Irina Tsyganok |
| author_sort | Lenka Rýparová |
| collection | DOAJ |
| description | In the present paper, we study the geometry of infinitesimal conformal, affine, projective, and harmonic transformations of complete Riemannian manifolds using the concepts of geometric dynamics and the methods of the modern version of the Bochner technique. |
| first_indexed | 2024-03-11T07:18:49Z |
| format | Article |
| id | doaj.art-b5fc6f4d714d4f6080f0e047c325ca6e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T07:18:49Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b5fc6f4d714d4f6080f0e047c325ca6e2023-11-17T08:08:25ZengMDPI AGMathematics2227-73902023-02-01115111410.3390/math11051114Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of ViewLenka Rýparová0Irena Hinterleitner1Sergey Stepanov2Irina Tsyganok3Department of Algebra and Geometry, Palacký University Olomouc, 77146 Olomouc, Czech RepublicInstitute of Mathematics and Descriptive Geometry, Brno University of Technology, 60200 Brno, Czech RepublicDepartment of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, RussiaDepartment of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, RussiaIn the present paper, we study the geometry of infinitesimal conformal, affine, projective, and harmonic transformations of complete Riemannian manifolds using the concepts of geometric dynamics and the methods of the modern version of the Bochner technique.https://www.mdpi.com/2227-7390/11/5/1114complete Riemannian manifoldgeometric dynamical systemsLiouville-type theoremsinfinitesimal transformations |
| spellingShingle | Lenka Rýparová Irena Hinterleitner Sergey Stepanov Irina Tsyganok Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View Mathematics complete Riemannian manifold geometric dynamical systems Liouville-type theorems infinitesimal transformations |
| title | Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View |
| title_full | Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View |
| title_fullStr | Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View |
| title_full_unstemmed | Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View |
| title_short | Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View |
| title_sort | infinitesimal transformations of riemannian manifolds the geometric dynamics point of view |
| topic | complete Riemannian manifold geometric dynamical systems Liouville-type theorems infinitesimal transformations |
| url | https://www.mdpi.com/2227-7390/11/5/1114 |
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