Geodesic Infinitesimal Deformations of Generalized Riemannian Spaces

被引：0

作者：

Marija S. Najdanović

Ljubica S. Velimirović

Nenad O. Vesić

机构：

[1] University of Priština in Kosovska Mitrovica,Department of Mathematics, Faculty of Sciences and Mathematics

[2] University of Niš,Faculty of Sciences and Mathematics

[3] Serbian Academy of Sciences and Art Mathematical Institute,undefined

来源：

Mediterranean Journal of Mathematics | 2022年 / 19卷

关键词：

Generalized Riemannian space; geodesic deformation; geodesic mapping; infinitesimal deformation; rigidity; variation; Primary 32G10; 53C25; Secondary 53A45;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

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Najdanovic, Marija S.
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Vesic, Nenad O.
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