Triviality results for quasi k-Yamabe solitons

2021/06/21 by Tokura, Willian, Batista, Elismar, Kai, Priscila
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.10833

Abstract

In this paper, we show that any compact quasi k-Yamabe gradient solitons must have constant σ_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.

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