Publication detail

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

VÍTKOVÁ, L. HINTERLEITNER, I. STEPANOV, S. TSYGANOK, I.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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

Authors

VÍTKOVÁ, L.; HINTERLEITNER, I.; STEPANOV, S.; TSYGANOK, I.

Released

22. 3. 2023

Publisher

MDPI

Location

Basel

ISBN

2227-7390

Periodical

Mathematics

Year of study

11

Number

5

State

Swiss Confederation

Pages from

1114-1

Pages to

1114-13

Pages count

13

URL

https://doi.org/10.3390/math11051114