# Invariant solutions of gradient $k$-Yamabe solitons

@inproceedings{Tokura2021InvariantSO, title={Invariant solutions of gradient \$k\$-Yamabe solitons}, author={Willian Isao Tokura and Marcelo Bezerra Barboza and Elismar Batista and Priscila Marques Kai}, year={2021} }

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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