Journal ArticleDOI
On $${{\varphi}}$$ -Einstein Contact Riemannian Manifolds
Jong Taek Cho,Jun-ichi Inoguchi +1 more
TLDR
In this paper, the authors investigated φ-Einstein contact Riemannian manifolds and applied it to Mathematics Subject Classification (2010) and found that φ = 0.Abstract:
φ-Einstein contact Riemannian manifolds are investigated. Mathematics Subject Classification (2010). Primary 58E20.read more
Citations
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Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds
TL;DR: In this paper, the geodesibility of light-like hypersurfaces of indefinite trans-Sasakian manifolds of type (α, β), tangent to the structure vector field, has been established.
Journal ArticleDOI
On a class of generalized φ-recurrent Sasakian manifold
TL;DR: In this paper, the authors introduced the notion of hyper generalized φ-recurrent Sasakian manifold and studied its various geometric properties, and proved its existence by giving a proper example.
Journal ArticleDOI
Reeb flow invariant ∗-Ricci operators on trans-Sasakian three-manifolds
Rongsheng Ma,Donghe Pei +1 more
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Pseudo-Einstein manifolds
TL;DR: Among the studies on pseudo-Hermitian geometry of strictly pseudo-convex almost CR manifolds, this paper studied especially the two kinds of pseudo-Einstein structures and related problems.
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∗ -Ricci Tensor on α -Cosymplectic Manifolds
TL;DR: In this paper , the authors studied α-cosymplectic manifold and showed that the Ricci tensor tensor is a semisymmetric manifold, which is an extension of the RICCI tensor.
References
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Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Book
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.
Journal ArticleDOI
Tangent and cotangent bundles
TL;DR: In this article, the authors consider the problem of finding an isomorphism in a set of subsets of a TM and show that there exists a neighborhood W 1, W 2, W 3 of (p, Xp), (p); F ( Xp) and F (Xp) respectively such that W 1 is an open set.
Journal ArticleDOI
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.
Journal ArticleDOI
Pseudo-einstein structures on cr manifolds
TL;DR: Etant donne une variete CR compacte non degeneree, on cherche une structure pseudohermitienne associee pour laquelle le tenseur de Ricci pseudo-hermitien est un multiple scalaire de la forme de Levi.