arXiv subjects

Shunya Fujii

Publications and source records attributed to Shunya Fujii.

2 recordsLinked to original sources

arXiv2022

Classification of conformal solitons in pseudo-Euclidean spaces

In this paper, we completely classify conformal solitons on pseudo-Riemannian hypersurfaces in pseudo-Euclidean spaces arisen from the position vector field. In particular, the classification of Yamabe solitons on pseudo-Riemannian hypersurfaces in pseudo-Euclidean spaces arisen from the position vector field can be obtained.

math.DG↗

arXiv2021

Classification of generalized Yamabe solitons in Euclidean spaces

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.

math.DG↗