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- Title
Almost Cosymplectic (k, μ)-metrics as η-Ricci Solitons.
- Authors
Wenjie Wang
- Abstract
In this paper, we study η-Ricci solitons on almost cosymplectic (k, μ)-manifolds. As an application, it is proved that if an almost cosymplectic (k, μ)-metric with k < 0 represents a Ricci soliton, then the potential vector field of the Ricci soliton is a strict infinitesimal contact transformation, and the corresponding almost cosymplectic manifold is locally isometric to a Lie group whose local structure is determined completely by k < 0. In addition, a concrete example is constructed to illustrate the above result.
- Subjects
MANIFOLDS (Mathematics); SOLITONS; LIE groups; RICCI flow; ISOMETRICS (Mathematics)
- Publication
Journal of Nonlinear Mathematical Physics, 2022, Vol 29, Issue 1, p58
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1007/s44198-021-00019-4