Some results of η-Ricci solitons on (LCS)n-manifolds
In: Surveys in Mathematics and its Applications, Jg. 132018) (2018-12-01), S. 237-250
Online
academicJournal
Zugriff:
In this paper, we consider an η -Ricci soliton on the (LCS)n-manifolds (M, φ , ξ , η , g) satisfying certain curvature conditions likes: R(ξ , X) · S= 0 and W 2(ξ, X) · S=0. We show that on the (LCS)n-manifolds (M,φ ,ξ ,η ,g), the existence of η -Ricci soliton implies that (M, g) is a quasi-Einstein. Further, we discuss the existence of Ricci solitons with the potential vector field ξ. In the end, we construct the non-trivial examples of η -Ricci solitons on the (LCS)n-manifolds.
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Some results of η-Ricci solitons on (LCS)n-manifolds
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| Autor/in / Beteiligte Person: | Yadav, S. K. ; Chaubey, S. K. ; Suthar, D. L. |
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| Zeitschrift: | Surveys in Mathematics and its Applications, Jg. 132018) (2018-12-01), S. 237-250 |
| Veröffentlichung: | University Constantin Brancusi of Targu-Jiu, 2018 |
| Medientyp: | academicJournal |
| ISSN: | 1843-7265 (print) ; 1842-6298 (print) |
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