Results 21 to 30 of about 672 (132)
In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi +3 more
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Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds
In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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ON SLANT SUBMANIFOLDS OF NEUTRAL KAEHLER MANIFOLDS
An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite Kaehler manifold is called neutral Kaehler if its complex index is equal to the half of its complex dimension. In the first part of this article, we extend the notion of slant surfaces in Lorentzian Kaehler surfaces to slant ...
Arslan, K. +3 more
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II
In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}.
Koji Matsumoto
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Totally real submanifolds of $(LCS)_n$-Manifolds [PDF]
The present paper deals with the study of totally real submanifolds and $\textit{C}$-totally real submanifolds of $(LCS)_n$-manifolds with respect to Levi-Civita connection as well as quarter symmetric metric connection.
Hui, Shyamal Kumar, Pal, Tanumoy
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Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi +3 more
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Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds
The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden Riemannian manifolds and we obtain integrability conditions for the distributions involved in the semi-slant submanifolds ...
Cristina E. Hretcanu, Adara M. Blaga
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Some Eigenvalues Estimate for the ϕ-Laplace Operator on Slant Submanifolds of Sasakian Space Forms
This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li +4 more
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