[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c200104

GRADIENT YAMABE SOLITONS WITH CONFORMAL VECTOR FIELD

Fasihi-Ramandi, Ghodratallah (Department of Pure Mathematics Imam Khomeini International University)
Ghahremani-Gol, Hajar (Department of Mathematics Shahed University)

Publication Information

Communications of the Korean Mathematical Society / v.36, no.1, 2021 , pp. 165-171 More about this Journal

Abstract

The purpose of this paper is to investigate the geometry of complete gradient Yamabe soliton (Mn, g, f, λ) with constant scalar curvature admitting a non-homothetic conformal vector field V leaving the potential vector field invariant. We show that in such manifolds the potential function f is constant and the scalar curvature of g is determined by its soliton scalar. Considering the locally conformally flat case and conformal vector field V, without constant scalar curvature assumption, we show that g has constant curvature and determines the potential function f explicitly.

Keywords

Yamabe soliton; constant scalar curvature; conformal vector field;

Citations & Related Records

Reference

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