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Geodesic infinitesimal deformations of generalized Riemannian space

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Geodesic infinitesimal deformation.pdf (50.49Kb)
Date
2022-05-11
Authors
Najdanović, Marija
Velimirović, Ljubica
Vesić, Nenad
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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.
URI
https://platon.pr.ac.rs/handle/123456789/1170
DOI
https://doi.org/10.1007/s00009-022-02056-9
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M21
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