On ϕ-Ricci Recurrent Almost Kenmotsu Manifolds with Nullity Distributions
Krishanu Mandal
- Vol. 9, Iss: 2, pp 70-79
Reads0
Chats0
TLDR
In this paper, the authors investigated φ-Ricci recurrent and φ Ricci symmetric almost Kenmotsu manifold with its characteristic vector field ξ belonging to some nullity distribution.Abstract:
The purpose of this paper is to investigate φ-Ricci recurrent and φ-Ricci symmetric almost Kenmotsu manifolds with its characteristic vector field ξ belonging to some nullity distributions. Also we obtain several corollaries. Finally, we give an example of a 5-dimensional almost Kenmotsu manifold such that ξ belongs to the (k, μ)′-nullity distribution and h′ 6= 0.read more
Citations
More filters
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
On the quasi-conformal curvature tensor of an almost Kenmotsu manifold with nullity distributions
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this paper, the authors characterized quasi-conformally flat and almost Kenmotsu manifolds with vanishing extended quasiconformal curvature tensor tensor and extended $\xi$-quasi-constantally flat almost kimchi-flat almost kemoto manifolds such that the characteristic vector field belongs to the $(k,\mu)$-nullity distribution.
Journal ArticleDOI
A Note on Yamabe Solitons on 3-dimensional Almost Kenmotsu Manifolds with $\textbf{Q}\phi=\phi \textbf{Q}$
TL;DR: In this article , it was shown that if the metric of a 3D almost Kenmotsu manifold admits Yamabe solitons, then the manifold is of constant sectional curvature or Ricci simple.
Posted Content
Non-existence of Ricci solitons in almost Kenmotsu manifolds
TL;DR: In this article, it was shown that there does not exist Ricci soliton in an almost Kenmotsu manifold, and that there is no Ricci-soliton (g, ǫ) in a 2-dimensional manifold.
References
More filters
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
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
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.
Related Papers (5)
Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions
Uday Chand De,Dibakar Dey +1 more