Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View-Reference-Cited by-同舟云学术

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

Published:2023-02-23 Issue:5 Volume:11 Page:1114
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Rýparová Lenka¹²^ORCID,Hinterleitner Irena²^ORCID,Stepanov Sergey³^ORCID,Tsyganok Irina³^ORCID

Affiliation:

1. Department of Algebra and Geometry, Palacký University Olomouc, 77146 Olomouc, Czech Republic

2. Institute of Mathematics and Descriptive Geometry, Brno University of Technology, 60200 Brno, Czech Republic

3. Department of Mathematics, Financial University, 49 Lenigradsky Prospect, 125993 Moscow, Russia

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.

Funder

Palacky University Olomouc

Faculty of Civil Engineering, Brno University of Technology

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1114/pdf

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