International Journal of Mathematics ( IF 0.604 ) Pub Date : 2021-02-19 , DOI: 10.1142/s0129167x21500221
Shunya Fujii; Shun Maeta

In this paper, we consider generalized Yamabe solitons which include many notions, such as Yamabe solitons, almost Yamabe solitons, $h$-almost Yamabe solitons, gradient $k$-Yamabe solitons and conformal gradient solitons. We completely classify the generalized Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field.

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