On m-quasi Einstein almost Kenmotsu manifolds

Title

On m-quasi Einstein almost Kenmotsu manifolds

Creator

Venkatesha V.; Kumara H.A.; Naik D.M.

Description

In this article, we consider m-quasi Einstein structures on two class of almost Kenmotsu manifolds. Firstly, we study a closed m-quasi Einstein metric on a Kenmotsu manifold. Next, we proved that if a Kenmotsu manifold M admits an m-quasi Einstein metric with conformal vector field V, then M is Einstein. Finally, we prove that a non-Kenmotsu almost Kenmotsu (?,?)' -manifold admitting a closed m-quasi Einstein metric is locally isometric to the Riemannian product Hn+1Rn, provided that ?-?(2n+m)/2m = 1. 2021 Universita degli Studi di Parma. All rights reserved.

Source

Rivista di Matematica della Universita di Parma, Vol-12, No. 2, pp. 287-299.

Date

2021-01-01

Publisher

Universita degli Studi di Parma

Subject

almost Kenmotsu(?,?)'-manifolds; Einstein manifolds; Kenmotsu manifolds; m-quasi Einstein metric; Ricci solitons

Coverage

Venkatesha V., Department of Mathematics, Kuvempu University, Karnataka, Shankaraghatta, 577-451, India; Kumara H.A., Department of Mathematics, Kuvempu University, Karnataka, Shankaraghatta, 577-451, India; Naik D.M., Department of Mathematics, CHRIST (Deemed to Be University) Bangalore, Karnataka, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 356298

Format

Online

Language

English

Type

Article

Identifier

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85160081088&partnerID=40&md5=96461d940a09a888a2c00c90a49a8629