Journal ArticleDOI
On invariant submanifolds of Kenmotsu manifolds
Uday Chand De,Pradip Majhi +1 more
TLDR
In this paper, the authors obtained a necessary condition for a three dimensional invariant submanifold of a Kenmotsu manifold to be totally geodesic, where S, R are the Ricci tensor and curvature tensor respectively and α is the second fundamental form.Abstract:
The object of the present paper is to obtain a necessary condition for a three dimensional invariant submanifold of a Kenmotsu manifold to be totally geodesic. Besides this we study an invariant submanifold of Kenmotsu manifolds satisfying Q(α, R) = 0 and Q(S, α) = 0, where S, R are the Ricci tensor and curvature tensor respectively and α is the second fundamental form. Finally, we construct an example to verify our results.read more
Citations
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Journal ArticleDOI
A Note on Invariant Submanifolds of Trans-Sasakian Manifolds
Chaogui Hu,Yaning Wang +1 more
TL;DR: In this article, necessary and sufficient conditions for an invariant submanifold of a trans-Sasakian manifold to be totally geodesic are given. But these conditions depend on the invariance of the manifold.
Journal ArticleDOI
Kenmotsu manifolds with generalized Tanaka-Webster connection
Gopal Ghosh,De Chand +1 more
TL;DR: In this paper, the g-Tanaka-Webster connection associated with a Kenmotsu structure was studied and the curvature properties of this connection on the manifold were analyzed.
Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold
Süleyman Dirik,Mehmet Atçeken +1 more
TL;DR: In this paper, the geometry of pseudo-slant submanifolds of a nearly cosymplectic manifold is studied and necessary and sufficient conditions on a totally umbilical proper slant sub-manifold are obtained.
Journal ArticleDOI
A Study of New Class of Almost Contact Metric Manifolds of Kenmotsu Type
TL;DR: In this paper, the authors characterized a new class of almost contact metric manifolds and established the equivalent conditions of the characterization identity in terms of Kirichenko's tensors, and demonstrated that the Kenmotsu manifold provides the mentioned class; i.e., the new class can be decomposed into a direct sum of the KG and other classes.
Journal ArticleDOI
Geometric aspects of CR-warped product submanifolds of T-manifolds
Akram Ali,Wan Ainun Mior Othman +1 more
TL;DR: In this paper, the authors prove that CR-warped product submanifolds with invariant fiber are trivial warped products and provide a characterizati cation of the submanIFolds.
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.
Journal ArticleDOI
A class of almost contact riemannian manifolds
TL;DR: In this article, Tanno has classified connected almost contact Riemannian manifolds whose automorphism groups have themaximum dimension into three classes: (1) homogeneous normal contact manifolds with constant 0-holomorphic sec-tional curvature if the sectional curvature for 2-planes which contain
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