A note on gradient k -Yamabe solitons

Annals of Global Analysis and Geometry（2022）

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摘要

In this paper we provide some triviality results for gradient k -Yamabe solitons under different assumptions. In fact, under either growth or integral conditions on the potential function and some mild geometric conditions on such a gradient k -Yamabe soliton, we are able to prove that it must have constant σ _k -curvature.

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关键词

Gradient k-Yamabe solitons,Constant σ _k -curvature,Triviality results

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