Results 101 to 110 of about 163 (136)
Warped product submanifolds of a Kenmotsu manifold
KHALID ALI KHAN +2 more
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Warped product submanifolds in Sasakian space forms
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Sequential Warped Product Submanifolds of Sasakian Manifolds
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Selcen Yüksel Perktaş, Adara M. Blaga
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On the geometry of submanifolds in certain warped products
International Journal of Mathematics, 2021In this paper, we deal with [Formula: see text]-dimensional submanifolds immersed in a slab of a warped product of the type [Formula: see text]. Under suitable constraints on the warping function [Formula: see text] and assuming that such a submanifold [Formula: see text] is either complete or stochastically complete, we apply some maximum principles ...
Araújo, Jogli G. +3 more
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Warped product submanifolds in Sasakian space forms
SUT Journal of Mathematics, 2002Let \(M_1 \times_f M_2\) be a warped product submanifold of a Sasakian space form \(N\) so that the Reeb vector field of \(N\) is either tangent or normal to \(M_1 \times_f M_2\). Denote by \(\Delta\) the Laplacian of \(M_1\). The authors derive an upper bound for \(\Delta f/f\) that depends only on the dimensions of \(M_1\) and \(M_2\), the \(\varphi\)
Matsumoto, Koji, Mihai, Ion
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Doubly Warped Product Manifolds and Submanifolds
AIP Conference Proceedings, 2004In this report, we consider doubly warped product manifolds and we get fundamental properties of this manifold and consider these submanifolds.
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Contact CR-Warped Product Submanifolds in Sasakian Manifolds
Geometriae Dedicata, 2003Recently, B.-Y. Chen studied warped products which are CR-submanifolds in Kähler manifolds and established general sharp inequalities for CR-warped products in Kähler manifolds. In the present paper, we obtain a sharp inequality for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping function for contact CR ...
Hasegawa, Izumi, Mihai, Ion
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Warped Product Lightlike Submanifolds
Sarajevo Journal of Mathematicse study a new class of lightlike submanifolds $M$, called warped product lightlike submanifolds, of a semi-Riemann manifold. We show that the null geometry of $M$ reduces to the corresponding non-degenerate geometry of its semi-Riemann submanifold. 2000 Mathematics Subject Classification.
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On the topology of CR-warped product submanifolds
International Journal of Geometric Methods in Modern Physics, 2018We obtain a necessary condition for homology group to be zero on CR-warped product submanifold in Euclidean spaces in terms of second fundamental form of the submanifold and warping function. By using this condition, we show that such CR-warped product submanifold is a homotopy sphere.
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