Triviality results for quasi $k$-Yamabe solitons

Autor:	Tokura, Willian, Batista, Elismar, Kai, Priscila
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	In this paper, we show that any compact quasi $k$-Yamabe gradient solitons must have constant $\sigma_{k}$-curvature. Moreover, we provide a certain condition for a compact quasi $k$-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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.10833 Zobrazit plný text záznamu View this record from Arxiv