Mediterranean Journal of Mathematics (Birkhaeuser Verlag AG) • 11 May 2022

Geodesic infinitesimal deformations of generalized Riemannian space

Najdanović, Marija • Velimirović, Ljubica • Vesić, Nenad

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.

Funding

Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/20-0123]
Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/200124]
Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica [IJ-0203]
Author: Najdanović, Marija • Velimirović, Ljubica • Vesić, Nenad
Issue: 3
ISSN: 1660-5446
doi: https://doi.org/10.1007/s00009-022-02056-9
M kategorija: M21
Vrsta rada:clanak u casopisu
Funding: Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/20-0123]||Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/200124]||Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica [IJ-0203]

Keywords