On a class of complete non-compact gradient Yamabe solitons
Differential Geometry
2018-03-29 v2
Abstract
We derive lower bounds on the scalar curvature of complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that the corresponding potential functions have at most quadratic growth in distance. We also obtain a finite topological type property on complete shrinking gradient Yamabe solitons under suitable scalar curvature assumptions.
Keywords
Cite
@article{arxiv.1109.0861,
title = {On a class of complete non-compact gradient Yamabe solitons},
author = {Jia-Yong Wu},
journal= {arXiv preprint arXiv:1109.0861},
year = {2018}
}
Comments
11 pages, to appear in Bull. Korean Math. Soc