Conformal vector fields and Yamabe solitons
Differential Geometry
2018-11-01 v1 Analysis of PDEs
Abstract
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 of Yamabe metrics.
Cite
@article{arxiv.1810.13020,
title = {Conformal vector fields and Yamabe solitons},
author = {Nasser Bin Turki and Bang-Yen Chen and Sharief Deshmukh},
journal= {arXiv preprint arXiv:1810.13020},
year = {2018}
}
Comments
11 pages