English

Triviality results for compact k-Yamabe solitons

Differential Geometry 2020-06-02 v1

Abstract

In this paper, we show that any compact gradient k-Yamabe soliton must have constant σk\sigma_k-curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be gradient.

Keywords

Cite

@article{arxiv.2006.00501,
  title  = {Triviality results for compact k-Yamabe solitons},
  author = {Willian Tokura and Elismar Batista},
  journal= {arXiv preprint arXiv:2006.00501},
  year   = {2020}
}