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Conformal vector fields and Yamabe solitons
Journal article   Peer reviewed

Conformal vector fields and Yamabe solitons

Nasser Bin Turki, Bang-Yen Chen and Sharief Deshmukh
International journal of geometric methods in modern physics, Vol.16(4), p.1950053
01/04/2019

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
In this paper, we use less topological restrictions and more geometric and analytic conditions to obtain some sufficient conditions on Yamabe solitons such that their metrics are Yamabe metrics, that is, metrics of constant scalar curvature. More precisely, we use properties of conformal vector fields to find several sufficient conditions on the soliton vector fields of Yamabe solitons under which their metrics are Yamabe metrics.

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