Geodesic Infinitesimal Deformations of Generalized Riemannian Spaces

被引：1

作者：

Najdanovic, Marija S. ^{[1
]}

Velimirovic, Ljubica S. ^{[2
]}

Vesic, Nenad O. ^{[3
]}

机构：

[1] Univ Pristina Kosovska Mitrovica, Dept Math, Fac Sci & Math, Kosovska 38220, Serbia

[2] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

[3] Serbian Acad Sci & Art Math Inst, Belgrade 11000, Serbia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 03期

关键词：

Generalized Riemannian space; geodesic deformation; geodesic mapping; infinitesimal deformation; rigidity; variation; MAPPINGS;

D O I：

10.1007/s00009-022-02056-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Infinitesimal deformations of subspaces of a generalized Riemannian space are studied in this paper. Variations of some geometric objects are found. Necessary and sufficient conditions which provide the existence of a geodesic infinitesimal deformation of a generalized Riemannian space are obtained. Basic equations of a geodesic infinitesimal deformation such as a system of differential equations which determined an infinitesimal deformation field are given.

引用

页数：11

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