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：
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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.
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