Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds
Abstract: In the context of para-contact Hausdorff geometry η-Ricci solitons and gradient Ricci solitons are considered on manifolds. We establish that on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔), the existence of an ηRicci soliton implies that (M,...
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| Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2017
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000200033 |
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oai:scielo:S0719-064620170002000332018-04-25Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifoldsYadav,S. K.Chaubey,S. K.Suthar,D. L. η-Ricci solitons gradient Ricci solitons (LCS)n-manifold. Abstract: In the context of para-contact Hausdorff geometry η-Ricci solitons and gradient Ricci solitons are considered on manifolds. We establish that on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔), the existence of an ηRicci soliton implies that (M, 𝑔) is quasi-Einstein. We find conditions for Ricci solitons on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔) to be shrinking, steady and expanding. At the end we show examples of such manifolds with η-Ricci solitons.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.2 20172017-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000200033en10.4067/S0719-06462017000200033 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
η-Ricci solitons gradient Ricci solitons (LCS)n-manifold. |
| spellingShingle |
η-Ricci solitons gradient Ricci solitons (LCS)n-manifold. Yadav,S. K. Chaubey,S. K. Suthar,D. L. Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds |
| description |
Abstract: In the context of para-contact Hausdorff geometry η-Ricci solitons and gradient Ricci solitons are considered on manifolds. We establish that on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔), the existence of an ηRicci soliton implies that (M, 𝑔) is quasi-Einstein. We find conditions for Ricci solitons on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔) to be shrinking, steady and expanding. At the end we show examples of such manifolds with η-Ricci solitons. |
| author |
Yadav,S. K. Chaubey,S. K. Suthar,D. L. |
| author_facet |
Yadav,S. K. Chaubey,S. K. Suthar,D. L. |
| author_sort |
Yadav,S. K. |
| title |
Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds |
| title_short |
Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds |
| title_full |
Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds |
| title_fullStr |
Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds |
| title_full_unstemmed |
Some geometric properties of η Ricci solitons and gradient Ricci solitons on (lcs) n -manifolds |
| title_sort |
some geometric properties of η ricci solitons and gradient ricci solitons on (lcs) n -manifolds |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2017 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000200033 |
| work_keys_str_mv |
AT yadavsk somegeometricpropertiesof951riccisolitonsandgradientriccisolitonsonlcsnmanifolds AT chaubeysk somegeometricpropertiesof951riccisolitonsandgradientriccisolitonsonlcsnmanifolds AT suthardl somegeometricpropertiesof951riccisolitonsandgradientriccisolitonsonlcsnmanifolds |
| _version_ |
1714206796924583936 |