Special Geometric Objects in Generalized Riemannian Spaces-Reference-Cited by-同舟云学术

Special Geometric Objects in Generalized Riemannian Spaces

Published:2024-07-09 Issue:7 Volume:13 Page:463
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Stefanović Marko¹,Vesić Nenad²,Simjanović Dušan³^ORCID,Randjelović Branislav⁴⁵^ORCID

Affiliation:

1. Faculty of Sciences and Mathematics, University of Niš, 18000 Niš, Serbia

2. Mathematical Institute of Serbian Academy of Sciences and Arts, University of Belgrade, 11000 Belgrade, Serbia

3. Faculty of Information Technology, Metropolitan University, 11158 Belgrade, Serbia

4. Faculty of Electronic Engineering, University of Niš, 18000 Niš, Serbia

5. Faculty of Teachers Education, University of Priština in K. Mitrovica, Leposavić, 38218 Leposavic, Serbia

Abstract

In this paper, we obtained the geometrical objects that are common in different definitions of the generalized Riemannian spaces. These objects are analogies to the Thomas projective parameter and the Weyl projective tensor. After that, we obtained some geometrical objects important for applications in physics.

Funder

Ministry of Science, Inovations and Technological Development of Republic of Serbia

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/7/463/pdf

Reference34 articles.

1. Eisenhart, L.P. (1926). Riemannian Geometry, Humphrey Milfold, Oxford University Press.

2. Sinyukov, N.S. (1979). Geodesic Mappings of Riemannian Spaces, Nauka. (In Russian).

3. Mikeš, J., Stepanova, E., Vanžurová, A., Bácsó, S., Berezovski, V.E., Chepurna, O., Chodorová, M., Chudá, H., Gavrilchenko, M.L., and Haddad, M.L. (2019). Differential Geometry of Special Mappings, Palacký University.

4. Geodesic Mappings and Their Generalizations;Berezovski;J. Math. Sci.,2016

5. Mikeš, J., Stepanova, E., Vanžurová, A., Bácsó, S., Berezovski, V.E., Chepurna, O., Chodorová, M., Chudá, H., Gavrilchenko, M.L., and Haddad, M.L. (2015). Differential Geometry of Special Mappings, Palacký University.