Some results of η-Ricci solitons on (LCS)n-manifolds
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...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2018-12-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v13/p13_14.pdf |
| _version_ | 1823987833000427520 |
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| author | S. K. Yadav S. K. Chaubey D. L. Suthar |
| author_facet | S. K. Yadav S. K. Chaubey D. L. Suthar |
| author_sort | S. K. Yadav |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T13:34:30Z |
| format | Article |
| id | doaj.art-dd345449ff6948fbba4e573d41752a42 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-12-18T13:34:30Z |
| publishDate | 2018-12-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-dd345449ff6948fbba4e573d41752a422022-12-21T21:06:05ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982018-12-0113 (2018)237250Some results of η-Ricci solitons on (LCS)n-manifoldsS. K. Yadav0S. K. Chaubey1D. L. Suthar2Department of Mathematics, Poornima College of Engineering, Jaipur, 302022, Rajasthan, India.Section of Mathematics, Department of Information Technology, Shinas College of Technology, Oman.Department of Mathematics, Wollo University, P. O. Box: 1145, Dessie, South Wollo, Ethopia.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.http://www.utgjiu.ro/math/sma/v13/p13_14.pdfη -Ricci soliton; Quasi-Einsteinη -Ricci solitonQuasi-Einstein(LCS)n-manifoldRicci tensorsCurvature tensors |
| spellingShingle | S. K. Yadav S. K. Chaubey D. L. Suthar Some results of η-Ricci solitons on (LCS)n-manifolds Surveys in Mathematics and its Applications η -Ricci soliton; Quasi-Einstein η -Ricci soliton Quasi-Einstein (LCS)n-manifold Ricci tensors Curvature tensors |
| title | Some results of η-Ricci solitons on (LCS)n-manifolds |
| title_full | Some results of η-Ricci solitons on (LCS)n-manifolds |
| title_fullStr | Some results of η-Ricci solitons on (LCS)n-manifolds |
| title_full_unstemmed | Some results of η-Ricci solitons on (LCS)n-manifolds |
| title_short | Some results of η-Ricci solitons on (LCS)n-manifolds |
| title_sort | some results of η ricci solitons on lcs n manifolds |
| topic | η -Ricci soliton; Quasi-Einstein η -Ricci soliton Quasi-Einstein (LCS)n-manifold Ricci tensors Curvature tensors |
| url | http://www.utgjiu.ro/math/sma/v13/p13_14.pdf |
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