m-quasi-?-Einstein contact metric manifolds

Title

m-quasi-?-Einstein contact metric manifolds

Creator

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

Description

The goal of this article is to introduce and study the characterstics of m-quasi-?-Einstein metric on contact Riemannian manifolds. First, we prove that if a Sasakian manifold admits a gradient m-quasi-?-Einstein metric, then M is ?-Einstein and f is constant. Next, we show that in a Sasakian manifold if g represents an m-quasi-?-Einstein metric with a conformal vector field V, then V is Killing and M is ?-Einstein. Finally, we prove that if a non-Sasakian (?, )-contact manifold admits a gradient m-quasi-?-Einstein metric, then it is N(?)-contact metric manifold or a ?-Einstein. Kumara H.A., Venkatesha V., Naik D.M., 2022.

Source

Carpathian Mathematical Publications, Vol-14, No. 1, pp. 61-71.

Date

2022-01-01

Publisher

Precarpathian National University

Subject

(?,)-contact manifold; m-quasi-?-Einstein metric; Sasakian manifold; ?-Ricci soliton

Coverage

Kumara H.A., Kuvempu University, Karnataka, Shankaraghatta, 577451, India; Venkatesha V., Kuvempu University, Karnataka, Shankaraghatta, 577451, India; Naik D.M., CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India

Rights

All Open Access; Gold Open Access

Relation

ISSN: 20759827

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.15330/cmp.14.1.61-71

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