Quasi-Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense-Reference-Cited by-同舟云学术

Quasi-Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense

Published:2024-08-03 Issue:8 Volume:13 Page:528
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Milenković Vladislava M.¹^ORCID,Stanković Mića S.²^ORCID

Affiliation:

1. Faculty of Technology, University of Niš, Bulevar oslobodjenja 124, 16000 Leskovac, Serbia

2. Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

Abstract

In this paper, quasi-canonical biholomorphically projective and equitorsion quasi-canonical biholomorphically projective mappings are defined. Some relations between the corresponding curvature tensors of the generalized Riemannian spaces GRN and GR¯N are obtained. At the end, the invariant geometric object of an equitorsion quasi-canonical biholomorphically projective mapping is found.

Funder

Ministry of Science, Technological Development and Innovation of the Republic of Serbia

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/8/528/pdf

Reference20 articles.

1. On the classification of almost geodesic mapings of affine connection spaces;Berezovski;Acta Univ. Palacki. Olomouc. Fac. Rer. Nat. Math.,1996

2. On special almost geodesic mappings of type π1 of spaces with affine connection;Berezovski;Acta Univ. Palacki. Olomouc Fac. Rer. Nat. Math.,2004

3. Almost geodesic mappings of spaces with affine connection;Berezovski;J. Math. Sci.,2015

4. Connection on Non-Symmetric (Generalized) Riemanian Manifold and Gravity;Ivanov;Class. Quantum Gravity,2016

5. 2F-planar mappings of pseudo-Riemannian spaces with f-structure;Konovenko;Proc. Int. Geom. Cent.,2018