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- Title
Generalized Ricci Solitons on Non-reductive Four-Dimensional Homogeneous Spaces.
- Authors
Azami, Shahroud; Fasihi-Ramandi, Ghodratallah; Pirhadi, Vahid
- Abstract
In the present paper, we consider the non-reductive four-dimensional homogeneous spaces and we classify homogeneous generalized Ricci solitons on these spaces. We show that any non-reductive four-dimensional homogeneous space admits the least in a generalized Ricci soliton. Also, we will prove that non-reductive four-dimensional homogeneous spaces have non-trivial Killing vector fields and these spaces exclusive of types A1, A4 and B2 are Einstein manifold and admit in non-trivial homogeneous Ricci solitons.
- Subjects
EINSTEIN, Albert, 1879-1955; SOLITONS; VECTOR fields; VECTOR spaces; HOMOGENEOUS spaces; EINSTEIN manifolds
- Publication
Journal of Nonlinear Mathematical Physics, 2023, Vol 30, Issue 3, p1069
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1007/s44198-023-00116-6