On Einstein-type almost Kenmotsu manifolds-Reference-Cited by-同舟云学术

On Einstein-type almost Kenmotsu manifolds

Published:2023-01-27 Issue:3 Volume:43 Page:141-147
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Kumara Huchchappa Aruna¹,Praveena Mundalamane Manjappa²,Naik Devaraja Mallesha³

Affiliation:

1. Department of Mathematics , BMS Institute of Technology and Management , Bangalore 560064, Karnataka , India

2. Department of Mathematics , M. S. Ramaiah Institute of Technology , Bangalore 560054, Karnataka , India

3. Department of Mathematics , Kuvempu University , Shankaraghatta 560029, Karnataka , India

Abstract

Abstract First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show that either M is Einstein or the potential function is pointwise collinear with ξ on an open set 𝒰

{\mathcal{U}}

of M. Finally, we study an Einstein-type equation on an almost Kenmotsu ( κ , μ ) ′

{(\kappa,\mu)^{\prime}}

-manifold.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2022-1058/pdf

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