Generalization of Myers' Theorem on a contact manifold
David E. Blair,Ramesh Sharma +1 more
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This article is published in Illinois Journal of Mathematics.The article was published on 1990-12-01 and is currently open access. It has received 14 citations till now. The article focuses on the topics: Invariant manifold & Closed manifold.read more
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Certain Results on K-Contact and (k, μ)-Contact Manifolds
TL;DR: In this article, Boyer and Galicki showed that a complete K-contact gradient soliton is a Jacobi vector field along the geodesics of the Reeb vector field.
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Contact metric manifolds with η-parallel torsion tensor
TL;DR: In this article, it was shown that a non-Sasakian contact metric manifold with η-parallel torsion tensor and sectional curvatures of plane sections containing the Reeb vector field different from 1 at some point, is a (k, μ)-contact manifold.
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Contact geometry and ricci solitons
Jong Taek Cho,Ramesh Sharma +1 more
TL;DR: In this article, a compact contact Ricci soliton with a potential vector field V collinear with the Reeb vector field, is shown to be the equivalent of an Eigenvector.
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Ricci solitons and contact metric manifolds
TL;DR: In this article, a Ricci soliton with potential vector field V collinear with ξ at each point under different curvature conditions was studied on a contact metric manifold M2n+1(ϕ, ξ, η, g).
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Ricci almost solitons and contact geometry
TL;DR: In this paper, it was shown that Ricci almost solitons whose potential vector field is a Jacobi field along the Reeb vector field can be considered as Ricci tensors.