Results 91 to 100 of about 1,107 (154)

A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors

Open Mathematics, 2016
Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
doaj   +1 more source

Invariant Submanifolds of Generalized Sasakian-Space-Forms

, 2019
The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.Comment: 11 ...
Prakasha, D. G., Unal, Inan, Veeresha, P.   +2 more
core  

On Generalized Quasi-Kenmotsu Manifolds

, 2014
We present a brief analysis on some properties of generalized quasi-Sasakian manifolds, discuss some important properties, particularly, regard the integrability conditions of this kind of manifolds in this paper.
Laha, Barnali, Arindam Bhattacharyya
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Pseudoparallel anti-invariant submanifolds of Kenmotsu manifolds

, 2010
Sular, Sibel (Balikesir Author)
Sular, Sibel, Özgür, Cihan, Murathan, Cengizhan   +2 more
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Some classifications on Kenmotsu manifolds

International Journal of Physical Sciences, 2014
In this paper, we investigate some curvature problems of Kenmotsu manifolds satisfying some certain conditions and we reach some classicifications. We consider -recurrent Kenmotsu manifolds and we show that -recurrent Kenmotsu manifolds are also -Einstein manifolds.
DOĞAN Saadet, KARADAĞ M uuml ge
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Classification of Warped Product Submanifolds in Kenmotsu Space Forms Admitting Gradient Ricci Solitons

Mathematics, 2019
The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj   +1 more source

Ricci solitons on almost Kenmotsu 3-manifolds

Open Mathematics, 2017
Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
doaj   +1 more source

τ-Curvature On Kenmotsu Manifold

Journal of the Tensor Society, 2007
In the present paper we have obtained the necessary and sufficient condition for a extended generalized τ -ϕ-recurrent Kenmotsu manifold to be a generalized ricci-recurrent manifold. Furthermore, we have studied τ -ϕ-symmetric Kenmotsu manifold, τ -ξ-flat Kenmotsu manifold and a Kenmotsu manifold satisfying τ (X, Y ) · R = 0.
S V Vishnuvardhana, Venkatesha .
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Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]

Arab Journal of Mathematical Sciences
Purpose – The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut
Mohd Danish Siddiqi, Sudhakar Kumar Chaubey, Aliya Naaz Siddiqui   +2 more
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Almost Kenmotsu manifolds with conformal Reeb foliation

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011
An almost Kenmotsu manifold is an almost contact metric manifold \((M^{2n+1},\varphi,\xi,\eta,g)\) such that the \(1\)-form \(\eta\) is closed and \(d\Phi=2\eta\wedge\Phi\), where \(\Phi\) denotes the fundamental \(2\)-form \(\Phi:=g(\cdot,\varphi\cdot)\).
PASTORE, Anna Maria, SALTARELLI V.
openaire   +3 more sources