English

Triviality results for quasi $k$-Yamabe solitons

Differential Geometry 2021-06-22 v1

Abstract

In this paper, we show that any compact quasi kk-Yamabe gradient solitons must have constant σk\sigma_{k}-curvature. Moreover, we provide a certain condition for a compact quasi kk-Yamabe soliton to be gradient, and for noncompact solitons, we present a geometric rigidity under a decaiment condition on the norm of the soliton field.

Keywords

Cite

@article{arxiv.2106.10833,
  title  = {Triviality results for quasi $k$-Yamabe solitons},
  author = {Willian Tokura and Elismar Batista and Priscila Kai},
  journal= {arXiv preprint arXiv:2106.10833},
  year   = {2021}
}