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Classification of generalized Yamabe solitons in Euclidean spaces

Differential Geometry 2021-01-19 v3

Abstract

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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Cite

@article{arxiv.2009.13255,
  title  = {Classification of generalized Yamabe solitons in Euclidean spaces},
  author = {Shunya Fujii and Shun Maeta},
  journal= {arXiv preprint arXiv:2009.13255},
  year   = {2021}
}

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12pages