A Note on Solitons with Generalized Geodesic Vector Field

Adara M. Blaga; Amira Ishan; Sharief Deshmukh

doi:10.3390/sym13071104

Symmetry (Jun 2021)

A Note on Solitons with Generalized Geodesic Vector Field

Adara M. Blaga,
Amira Ishan,
Sharief Deshmukh

Affiliations

Adara M. Blaga: Department of Mathematics, West University of Timisoara, Bd. V. Parvan, No. 4, 300223 Timisoara, Romania
Amira Ishan: Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Sharief Deshmukh: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

DOI: https://doi.org/10.3390/sym13071104
Journal volume & issue: Vol. 13, no. 7
p. 1104

Abstract

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We consider a general notion of an almost Ricci soliton and establish some curvature properties for the case in which the potential vector field of the soliton is a generalized geodesic or a 2-Killing vector field. In this vein, we characterize trivial generalized Ricci solitons.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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