Results 101 to 110 of about 171 (132)

ON KENMOTSU MANIFOLDS

Journal of the Korean Mathematical Society, 2005
Let \((M^n,\phi,\xi,\eta,g)\) be an \(n=2m+1\)-dimensional almost contact Riemannian manifold. If \((\nabla_X\phi)Y=-g(X,\phi Y)\xi-\eta(Y)\phi X\) and \(\nabla_X\xi=X-\eta(X)\xi\) then \((M^n,\phi,\xi,\eta,g)\) is called a Kenmotsu manifold. In the reviewed paper, the authors show that curvature conditions such as Ricci semisymmetry or Ricci ...
Uday Chand De
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$$\varphi $$-Trajectories in Kenmotsu manifolds

Journal of Geometry, 2022
Let \(M =(M, \varphi, \xi, \eta, g)\) be an almost contact metric manifold with Levi-Civita connection \(\nabla\). A curve \(\gamma(s)\) in \(M\) is said to be a \(\varphi\)-trajectory if it satisfies \(\nabla_{\gamma\prime} \gamma\prime = q \varphi(\gamma\prime)\) for some constant \(q\) (called the charge).
Jun-ichi Inoguchi, Ji-Eun Lee
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Invariant submanifolds of f-Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics, 2022
In the present paper, we study the invariant submanifolds of [Formula: see text]-Kenmotsu manifolds. Firstly, we show that any invariant submanifold of [Formula: see text]-Kenmotsu manifold is again [Formula: see text]-Kenmotsu manifold and minimal. Then, we give some characterizations of totally geodesic submanifolds of [Formula: see text]-Kenmotsu ...
Mohan Khatri, Sudhakar K. Chaubey, Jay Prakash Singh   +2 more
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η-Einstein nearly Kenmotsu manifolds

Asian-European Journal of Mathematics, 2019
In this paper, we showed that an [Formula: see text]-Einstein nearly Kenmotsu manifold with projective curvature tensor [Formula: see text], and conharmonic curvature tensor [Formula: see text], satisfy the conditions [Formula: see text] and [Formula: see text], respectively.
Tekin, Pelin, Aktan, Nesip
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Solitons on Kenmotsu Manifolds

Journal of Interdisciplinary Mathematics
In this article properties of solitons on Kenmotsu manifolds with Da-homothetic deformation and Schouten-van Kampen connection are discussed.
Sushil Shukla, Shubham Kumar, Ayush Ojha
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ON RECURRENT LIGHTLIKE HYPERSURFACE OF KENMOTSU MANIFOLD

South East Asian J. of Mathematics and Mathematical Sciences, 2022
The object of present paper is to study the properties of recurrent lightlike hypersurfaces of Kenmotsu manifold with (l, m)−type connection.
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ON CERTAIN CURVATURE PROPERTIES OF KENMOTSU MANIFOLDS

JP Journal of Geometry and Topology, 2017
Let \(M^n\), \(n=2m+1\), be an almost contact metric manifold with structure tensor fields consisting of a \((1,1)\)-tensor field \(\phi\), a 1-form \(\eta\), a vector field \(\xi\) and a Riemannian metric \(g\) satisfying, \(\phi^2X=-X+\eta(X)\xi\), \(\eta(\xi)=1\) and \(g(\phi X,\phi Y)=g(X,Y)-\eta(X)\eta(Y)\).
Venkatesha, Murthy, B. Phalaksha, Vishnuvardhana, S. V.   +2 more
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Slant Submanifolds of a Lorentz Kenmotsu Manifold

Mediterranean Journal of Mathematics, 2019
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SARI, RAMAZAN, VANLI, AYSEL
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Some Curvature Properties of Kenmotsu Manifolds

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015
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Taleshian, A., Hosseinzadeh, A. A.
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On the Kenmotsu Hypersurfaces of Special Hermitian Manifolds

Siberian Mathematical Journal, 2004
Summary: We consider almost contact metric hypersurfaces of almost Hermitian manifolds of class \(W_3\) (in the Gray-Hervella terminology, see \textit{A. Gray} and \textit{L. M. Hervella} [Ann. Mat. Pura Appl. 123, 35--58 (1980; Zbl 0444.53032)]).
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