Geometry of generalized Ricci-type solitons on a class of Riemannian manifolds

Title

Geometry of generalized Ricci-type solitons on a class of Riemannian manifolds

Creator

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

Description

In this paper, the notion of generalized Ricci-type soliton is introduced and its geometrical relevance on Riemannian CR-manifold is established. Particularly, it is shown that a Riemannian CR-manifold is Einstein when its metric is a generalized Ricci-type soliton. Next, it has been proved that a Riemannian CR-manifold is Einstein-like, when its metric is a generalized gradient Ricci-type almost soliton (or generalized Ricci-type almost soliton for which the soliton vector field is collinear to the CR-vector field). Finally, we present an example of generalized Ricci-type solitons which illustrate our results. 2022 Elsevier B.V.

Source

Journal of Geometry and Physics, Vol-176

Date

2022-01-01

Publisher

Elsevier B.V.

Subject

Concurrent vector field; Generalized Ricci-type soliton; Recurrent vector field; Ricci soliton

Coverage

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

Rights

Restricted Access

Relation

ISSN: 3930440; CODEN: JGPHE

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1016/j.geomphys.2022.104506

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