A classification of $3$-dimensional contact metric manifolds with $Q\phi=\phi Q$
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This article is published in Kodai Mathematical Journal.The article was published on 1990-01-01 and is currently open access. It has received 90 citations till now. The article focuses on the topics: Metric (mathematics).read more
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Contact metric manifolds satisfying a nullity condition
TL;DR: In this article, a study of contact metric manifolds for which the characteristic vector field of the contact structure satisfies a nullity type condition, condition (*) below, is presented.
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Contact geometry
TL;DR: In this article, an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol 2, is presented, along with a detailed exposition of the original proof of the Lutz-Martinet theorem.
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Structures on generalized Sasakian-space-forms
Pablo Alegre,Alfonso Carriazo +1 more
TL;DR: In this paper, contact metric and trans-Sasakian generalized Sasakian-space-forms are deeply studied and general results for manifolds with dimension greater than or equal to 5 are presented.
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On lorentzian quasi-einstein manifolds
TL;DR: It is shown that a quasi-Einstein spacetime represents perfect fluid spacetime model in cosmology and consequently such a spacetime determines the final phase in the evolution of the universe.
References
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Contact manifolds in Riemannian geometry
TL;DR: In this paper, the tangent sphere bundle is shown to be a contact manifold, and the contact condition is interpreted in terms of contact condition and k-contact and sasakian structures.
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Variational problems on contact Riemannian manifolds
TL;DR: In this paper, the generalized Tanaka connection for contact Riemannian manifolds generalizing one for nondegenerate, integrable CR manifolds was defined, and the torsion and generalized Tanaka-Webster scalar curvature were defined properly.
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Ricci curvatures of contact riemannian manifolds
TL;DR: In this paper, a variete de Riemann de contact de courbure φ-sectionnelle constante H.Riemann et al. satisfait Ric(X,X)+Ric(φX, φX)≤3n−1+(n+1)H pour chaque vecteur unite X∈T x M x∈M, tels que η(X)=0.