Almost *-Ricci solitons on contact strongly pseudo-convex integrable CR-manifolds-Reference-Cited by-同舟云学术

Almost *-Ricci solitons on contact strongly pseudo-convex integrable CR-manifolds

Published:2024 Issue:2 Volume:38 Page:543-551
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aruna Kumara H.¹,Sikdar Karabi¹,Venkatesha V.²

Affiliation:

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

2. Department of Mathematics, Kuvempu University, Shankaraghatta, Shivamogga, Karnataka, India

Abstract

We prove that if contact strongly pseudo-convex integrable CR-manifold admits a *-Ricci soliton where the soliton vector Z is contact, then the Reeb vector field ? is an eigenvector of the Ricci operator at each point if and only if ? is constant. Then we study contact strongly pseudo-convex integrable CR-manifold such that 1 is a almost *-Ricci soliton with potential vector field Z collinear with ?. To this end, we prove that if a 3-dimensional contact metric manifoldMwith Q? = ?Q which admits a gradient almost *-Ricci soliton, then either M is flat or f is constant.

Publisher

National Library of Serbia

Reference26 articles.

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