The standard {CR} structure on the unit tangent bundle
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This article is published in Tohoku Mathematical Journal.The article was published on 1992-12-01 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Unit tangent bundle & Tangent bundle.read more
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Locally conformally Kähler metrics on Hopf surfaces
Paul Gauduchon,Liviu Ornea +1 more
TL;DR: In this article, the conditions générales d'utilisation (http://www.numdam.org/legal.php) of a fichier do not necessarily imply a mention of copyright.
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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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g -Natural Contact Metrics on Unit Tangent Sphere Bundles
TL;DR: In this article, a three-parameter family of contact metric structures on the unit tangent sphere bundle of a Riemannian manifold was constructed and the necessary and sufficient conditions for a constructed contact metric structure to be K-contact, Sasakian, to satisfy some variational conditions or to define a strongly pseudo-convex CR-structure were given.
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An immersion theorem for Vaisman manifolds
Liviu Ornea,Misha Verbitsky +1 more
TL;DR: A locally conformally Kahler (LCK) manifold is a complex manifold that admits a holomorphic flow acting by non-trivial homotheties on Open image in new window as discussed by the authors.
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Harmonic maps and strictly pseudoconvex CR manifolds
TL;DR: In this paper, the curvature of strictly pseudoconvex CR manifolds has been studied and a rigidity theorem for Sasakian manifolds is proved for the case of non-positive curvatures.
References
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On the differential geometry of tangent bundles of riemannian manifolds ii
TL;DR: In this paper, a Riemannian metric on the tangent sphere-bundles of the manifold T{M] was introduced, and the geodesic flow on it was considered.
Journal Article
On the Geometry of the Tangent Bundle.
TL;DR: In this paper, the Eckmann-Frölicher tensor of the tangent bündle of a manifold is computed, which implies that the manifold is integrable if and only if the linear connection has vanishing torsion and curvature.
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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.