A Note on Some Generalized Curvature Tensor-Reference-Cited by-同舟云学术

A Note on Some Generalized Curvature Tensor

Published:2023-04-30 Issue:1 Volume:16 Page:379-397
ISSN:1307-5624
Container-title:International Electronic Journal of Geometry
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Short-container-title:

Author:

DESZCZ Ryszard¹^ORCID,GŁOGOWSKA Małgorzata²^ORCID,HOTLOŚ Marian³^ORCID,PETROVİĆ-TORGAŠEV Miroslava⁴^ORCID,ZAFINDRATAFA Georges⁵^ORCID

Affiliation:

1. Wroclaw University of Environmental and Life Sciences

2. WROCŁAW UNIWERSITY OF ENVIRONMENTAL AND LIFE SCIENCES

3. Wroclaw University of Science and Technology

4. State University of Novi Pazar, Department of Natural and Mathematical Sciences

5. Université Polytechnique Hauts-de-France

Abstract

For any semi-Riemannian manifold (M, g) we define some generalized curvature tensor E as a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci tensor and its square of given manifold. That tensor is closely related to quasi-Einstein spaces, Roter spaces and some Roter type spaces.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Subject

Applied Mathematics,Geometry and Topology,Mathematical Physics

Reference88 articles.

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