Invariant solutions of gradient k-Yamabe solitons

2021/08/10 by Tokura, W., Barboza, M., Batista, E. +1
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.04665

Abstract

The purpose of this paper is to study gradient k-Yamabe solitons conformal to pseudo-Euclidean space. We characterize all such solitons invariant under the action of an (n-1)-dimensional translation group. For rotational invariant solutions, we provide the classification of solitons with null curvatures. As an application, we construct infinitely many explicit examples of geodesically complete steady gradient k-Yamabe solitons conformal to the Lorentzian space.

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