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

被引：0

作者：

Ryparova, Lenka ^{[1
,2
]}

Hinterleitner, Irena ^{[2
]}

Stepanov, Sergey ^{[3
]}

Tsyganok, Irina ^{[3
]}

机构：

[1] Palacky Univ Olomouc, Dept Algebra & Geometry, Olomouc 77146, Czech Republic

[2] Brno Univ Technol, Inst Math & Descript Geometry, Brno 60200, Czech Republic

[3] Financial Univ, Dept Math, 49 Lenigradsky Prospect, Moscow 125993, Russia

来源：

MATHEMATICS | 2023年 / 11卷 / 05期

关键词：

complete Riemannian manifold; geometric dynamical systems; Liouville-type theorems; infinitesimal transformations; VECTOR-FIELDS; THEOREMS;

D O I：

10.3390/math11051114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

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