On a type of almost Kenmotsu manifolds with nullity distributions
Uday Chand De,Krishanu Mandal +1 more
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In this paper, the authors characterized Weyl semisymmetric almost Kenmotsu manifolds with characteristic vector field ξ belonging to the ( k, μ ) − nullity distribution and ( k, μ ) -nullity distribution respectively.About:
This article is published in Arab Journal of Mathematical Sciences.The article was published on 2017-07-01 and is currently open access. It has received 11 citations till now. The article focuses on the topics: Riemann curvature tensor & Ricci curvature.read more
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Gradient $$\rho $$ ρ -Einstein soliton on almost Kenmotsu manifolds
V. Venkatesha,H. Aruna Kumara +1 more
TL;DR: In this paper, it was shown that if the metric of an almost Kenmotsu manifold with conformal Reeb foliation admits a gradient, then either the potential function is pointwise collinear with the Reeb vector field or the gradient is Einstein.
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The Fischer-Marsden conjecture on almost Kenmotsu manifolds
Uday Chand De,Krishanu Mandal +1 more
TL;DR: In this paper, the Fischer-Marsden conjecture on almost Kenmotsu manifolds was investigated and it was shown that if a 3-dimensional non-Kenmotu (k, µ) manifold is a 2-dimensional almost Kenmotu manifold, then it is possible to construct a 3D almost-Kenmotu (1, µ)-manifold.
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Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions
Uday Chand De,Dibakar Dey +1 more
TL;DR: In this paper, the authors characterized Ricci pseudosymmetric and Ricci semisymmetric almost Kenmotsu manifolds with (k, μ)-, (k; μ)′-, and generalized (k and μ)-nullity distributions.
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The Fischer–Marsden conjecture on non-Kenmotsu $$(\kappa , \mu )^\prime $$ ( κ , μ ) ′ -almost Kenmotsu manifolds
TL;DR: In this paper, the Fischer-Marsden conjecture on almost Kenmotsu manifolds was studied and the authors characterized non-kappa, \mu, \mu )^\prime -almost-kempe manifolds satisfying the Fischer−Marsden equation.
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Critical Point Equation on Almost Kenmotsu Manifolds
Uday Chand De,Krishanu Mandal +1 more
TL;DR: In this article, the authors studied the critical point equation conjecture on almost Kenmotsu manifolds and proved that if a three-dimensional almost-k,\mu)-manifold satisfies the conjecture, then the manifold is either locally isometric to the product space or is a kinematic manifold.
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.
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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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Structure theorems on Riemannian spaces satisfying $R(X,\,Y)\cdot R=0$. I. The local version
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.
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Almost Kenmotsu manifolds and local symmetry
Giulia Dileo,Anna Maria Pastore +1 more
TL;DR: In this paper, the authors consider locally symmetric almost Kenmotsu manifold and show that the manifold is locally isometric to the Riemannian product of an n+1-dimensional manifold of constant curvature.
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Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions
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