Authors: Najdanović, Marija
Velimirović, Ljubica
Vesić, Nenad 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: GEODESIC INFINITESIMAL DEFORMATIONS OF GENERALIZED RIEMANNIAN SPACES
Journal: Mediterranean Journal of Mathematics
Volume: 19
Issue: 3
First page: 149
Issue Date: 2022
Rank: ~M21
ISSN: 1660-5446
DOI: 10.1007/s00009-022-02056-9
Abstract: 
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.
Publisher: Springer Link

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