Results 101 to 110 of about 166 (137)

Sequential Warped Product Submanifolds of Sasakian Manifolds

Mediterranean Journal of Mathematics, 2023
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Selcen Yüksel Perktaş, Adara M. Blaga
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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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The Homology of Warped Product Submanifolds of Spheres and Their Applications

Mathematics, 2023
The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups. We also validate the instability of current flows in π1(Σβ1+β2).
Akram Ali, Lamia Saeed Alqahtani, Ali Alkhaldi   +2 more
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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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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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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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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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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Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, II

Monatshefte f�r 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
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Existence of warped product submanifolds of almost Hermitian manifolds

2021
Summary: This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost Hermitian manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of other researchers, which is the second goal. At the end of the paper a list of warped products is
MUSTAFA, Abdulqader, ÖZEL, Cenap
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