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Existence of generalized super quasi-constant curvature

Department of Applied Sciences & Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia(Central University), New Delhi-110025

* Corresponding Author
Annals of Communications in Mathematics 2022
, 5 (3),
194-206.
https://doi.org/10.62072/acm.2022.050306
Received: 10 Nov 2022 |
Accepted: 12 Dec 2022 |
Published: 31 Dec 2022

Abstract

In this paper we define and study a new kind of quasi-constant curvature called generalized super-quasi-constant curvature. The existence of a generalized super quasi-constant curvature has also been verified by an example. We prove that a super quasi-umbilical hypersurface of a constant curvature manifold is a generalized super quasiconstant curvature manifold. Furthermore, it is proved that manifold of generalized super quasi-constant curvature is a super quasi-Einstein manifold. We have also introduced a sufficient condition to be a Super quasi-Einstein manifold. Lastly, we construct an example super quasi-Einstein manifold in general form.

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Cite This Article

Existence of generalized super quasi-constant curvature.

Annals of Communications in Mathematics,

2022,
5 (3):
194-206.
https://doi.org/10.62072/acm.2022.050306
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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