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Some geometric properties of η− Ricci solitons and gradient Ricci solitons on (𝑙𝑐𝑠)𝑛−manifolds

dc.creatorYadav, S. K.
dc.creatorChaubey, S. K.
dc.creatorSuthar, D. L.
dc.date2017-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1577
dc.identifier10.4067/S0719-06462017000200033
dc.descriptionIn 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 η−Ricci 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1577/1431
dc.sourceCUBO, A Mathematical Journal; Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal; 33–48en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 19 Núm. 2 (2017): CUBO, A Mathematical Journal; 33–48es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectη−Ricci solitonen-US
dc.subjectgradient Ricci solitonsen-US
dc.subject(LCS)𝑛−manifolden-US
dc.titleSome geometric properties of η− Ricci solitons and gradient Ricci solitons on (𝑙𝑐𝑠)𝑛−manifoldsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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