Results 111 to 120 of about 2,316 (142)

On the geometry of submanifolds in certain warped products

International Journal of Mathematics, 2021
In 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., de Lima, Henrique F., Lima, Eraldo A. jun., Santos, Márcio S.   +3 more
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CR-WARPED PRODUCT SUBMANIFOLDS OF NEARLY KAEHLER MANIFOLDS [PDF]

Journal of the Korean Mathematical Society, 2009
Summary: As warped product manifolds provide an excellent setting to model space time near black holes or bodies with large gravitational field, the study of these manifolds assumes significance in general. \textit{B.-Y. Chen} [Monatsh. Math. 133, No.~3, 177--195 (2001; Zbl 0996.53044)] initiated the study of CR-warped product submanifolds in a Kähler ...
Falleh R Al-Solamy
exaly   +3 more sources

Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, II

Monatshefte Fur Mathematik, 2001
The author introduces a new class of CR-submanifolds in a Kähler manifold, which are called CR-warped products. Let \(M=N_T \times_f N_\perp\) be a CR-warped product in a Kähler manifold \(\widetilde M\), where \(N_T\) is a holomorphic submanifold and \(N_\perp\) is a totally real submanifold of \(\widetilde M\). Then, the author proves that the second
Bang-Yen Chen
exaly   +3 more sources

Warped product submanifolds in Sasakian space forms

SUT Journal of Mathematics, 2002
Let \(M_1 \times_f M_2\) 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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Bi-warped Product Submanifolds of Nearly Kaehler Manifolds [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2019
12 ...
Siraj Uddi̇n, Bang-Yen Chen, Awatif Al-Jedani   +2 more
exaly   +3 more sources

Doubly Warped Product Manifolds and Submanifolds

AIP Conference Proceedings, 2004
In this report, we consider doubly warped product manifolds and we get fundamental properties of this manifold and consider these submanifolds.
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Warped Product Submanifolds of Kähler Manifolds

2017
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On the topology of CR-warped product submanifolds

International Journal of Geometric Methods in Modern Physics, 2018
We 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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Contact CR-Warped Product Submanifolds in Sasakian Manifolds

Geometriae Dedicata, 2003
Recently, 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 Mathematics
e 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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