Semi-Conformally Flat Singly Warped Product Manifolds and Applications-Reference-Cited by-同舟云学术

Semi-Conformally Flat Singly Warped Product Manifolds and Applications

Published:2023-11-24 Issue:12 Volume:12 Page:1078
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Shenawy Samesh¹^ORCID,Rabie Alaa²,De Uday Chand³^ORCID,Mantica Carlo⁴,Bin Turki Nasser⁵^ORCID

Affiliation:

1. Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11571, Egypt

2. Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63541, Egypt

3. Department of Pure Mathematics, University of Calcutta, Ballygaunge Circular Road, Kolkata 700019, India

4. Physics Department Aldo Pontremoli, Universita degli Studi di Milano and I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milan, Italy

5. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It is demonstrated that the fiber manifold of a semi-conformally flat warped product manifold has a constant curvature. Sufficient requirements on the warping function to ensure that the base manifold is a quasi-Einstein or an Einstein manifold are provided.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/12/1078/pdf

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