Geodesic Ricci-symmetric pseudo-Riemannian spaces-Reference-Cited by-同舟云学术

Geodesic Ricci-symmetric pseudo-Riemannian spaces

Published:2022-09-30 Issue:2 Volume:15 Page:109-119
ISSN:2409-8906
Container-title:Proceedings of the International Geometry Center
language:
Short-container-title:PIGC

Author:

Kiosak V.^ORCID,Kusik L.^ORCID,Isaiev V.^ORCID

Abstract

We introduced special pseudo-Riemannian spaces, called geodesic A-symmetric spaces, into consideration. It is proven that there are no geodesic symmetric spaces and no geodesic Ricci symmetric spaces, which differ from spaces of constant curvature and Einstein spaces respectively. The research is carried out locally, by tensor methods, without any limitations imposed on a metric and a sign.

Publisher

Odesa National University of Technology

Subject

Applied Mathematics,Geometry and Topology,Analysis

Reference33 articles.

1. [1] D. Doikov and V. Kiosak. On the Schwarzschild model for gravitating objects of the Universe. AIP Conference Proceedings, 2302(040001), 2020. doi:10.1063/5.0033657.

2. [2] L. P. Eisenhart. Riemannian geometry. Princeton University Press, 1997.

3. [3] I. Hinterleitner and V. Kiosak. Special Einstein's equations on Kähler manifolds. Archivum Mathematicum, 46(5):333-337, 2010.

4. [4] V. F. Kagan. Subprojective spaces. Moscow:Fizmatgiz, 1961.

5. [5] V. Kiosak and G. Kovalova. Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature. Matematychni Studii, 53(2):212-217, 2020.

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