English

A note on compact gradient Yamabe solitons

Differential Geometry 2011-07-20 v1 Analysis of PDEs

Abstract

We will give a simple proof that the metric of any compact Yamabe gradient soliton (M,g) is a metric of constant scalar curvature when the dimension of the manifold n>2.

Keywords

Cite

@article{arxiv.1107.3769,
  title  = {A note on compact gradient Yamabe solitons},
  author = {Shu-Yu Hsu},
  journal= {arXiv preprint arXiv:1107.3769},
  year   = {2011}
}

Comments

3 pages

R2 v1 2026-06-21T18:38:58.743Z