A Note on Solitons with Generalized Geodesic Vector Field

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 22 Jun 2021 English Publisher:MDPI AGJournal:Symmetry, volume 13, page 1,104 (eissn: 2073-8994,

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Authors: Adara M. Blaga; Amira Ishan; Sharief Deshmukh;

doi: 10.3390/sym13071104

A Note on Solitons with Generalized Geodesic Vector Field

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Abstract

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.

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Keywords

generalized geodesic vector field, Ricci soliton

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