Triviality results for quasi $k$-Yamabe solitons

Triviality results for quasi $k$-Yamabe solitons

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 conditi...

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Hauptverfasser: Tokura, Willian, Batista, Elismar, Kai, Priscila
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Mathematics - Differential Geometry
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Kai, Priscila
description 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.
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title Triviality results for quasi $k$-Yamabe solitons
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