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- Title
Generalized Yamabe solitons on hypersurfaces in pseudo–Euclidean spaces.
- Authors
Bektaş Demirci, Burcu; Fujii, Shunya; Maeta, Shun
- Abstract
In this paper, we obtain a classification theorem for generalized Yamabe solitons, called conformal solitons, on pseudo–Riemannian hypersurfaces in pseudo–Euclidean spaces by taking the vector field as the tangential part of the position vector field. By using the theorem, we also obtain complete classification of Yamabe solitons, almost Yamabe solitons, k–Yamabe solitons and h–almost Yamabe solitons on pseudo–Riemannian hypersurfaces in pseudo–Euclidean space under the same assumption.
- Subjects
SOLITONS; VECTOR fields; VECTOR spaces; HYPERSURFACES; RIEMANNIAN manifolds
- Publication
Journal of Geometry, 2024, Vol 115, Issue 1, p1
- ISSN
0047-2468
- Publication type
Article
- DOI
10.1007/s00022-023-00705-2