A note on (anti-)self dual quasi Yamabe gradient soliton
Differential Geometry
2015-07-27 v2
Abstract
In this note we prove that a (anti-)self dual quasi Yamabe soliton with positive sectional curvature is rotationally symmetric. This generalizes a recent result of G. Huang and H. Li in dimension four. Whence, (anti-) self dual gradient Yamabe solitons with positive sectional curvature is rotationally symmetric. We also prove that half conformally flat gradient Yamabe soliton has a special warped product structure provided that the potential function has no critical point.
Keywords
Cite
@article{arxiv.1507.05974,
title = {A note on (anti-)self dual quasi Yamabe gradient soliton},
author = {Benedito Leandro Neto},
journal= {arXiv preprint arXiv:1507.05974},
year = {2015}
}