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arXiv · 2108.04665

Invariant solutions of gradient $k$-Yamabe solitons

W. Tokura·M. Barboza·E. Batista·P. Kai
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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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W. Tokura, M. Barboza, E. Batista, P. Kai. 2021-08-10. Invariant solutions of gradient $k$-Yamabe solitons. https://arxiv.org/abs/2108.04665

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