Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View

Lenka Rýparová (), Irena Hinterleitner, Sergey Stepanov and Irina Tsyganok
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Lenka Rýparová: Department of Algebra and Geometry, Palacký University Olomouc, 77146 Olomouc, Czech Republic
Irena Hinterleitner: Institute of Mathematics and Descriptive Geometry, Brno University of Technology, 60200 Brno, Czech Republic
Sergey Stepanov: Department of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, Russia
Irina Tsyganok: Department of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, Russia

Mathematics, 2023, vol. 11, issue 5, 1-13

Abstract: 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.

Keywords: complete Riemannian manifold; geometric dynamical systems; Liouville-type theorems; infinitesimal transformations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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