Results 41 to 50 of about 5,193,136 (315)

On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature

Mathematics, 2021
In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li, A. H. Alkhaldi, Akram Ali, Pişcoran Laurian-Ioan   +3 more
semanticscholar   +1 more source

Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base

Symmetry, 2022
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold.
S. Srivastava, F. Mofarreh, Anuj Kumar, Akram Ali   +3 more
semanticscholar   +1 more source

On the biharmonicity of product maps

International Journal of Mathematics and Mathematical Sciences, 2006
We introduce the warped product of maps defined between Riemannian warped product spaces and we give necessary and sufficient conditions for warped product maps to be (bi)harmonic.
Leonard Todjihounde
doaj   +1 more source

Warped Product Submanifolds of LP-Sasakian Manifolds

Discrete Dynamics in Nature and Society, 2012
We study of warped product submanifolds, especially warped product hemi-slant submanifolds of LP-Sasakian manifolds. We obtain the results on the nonexistance or existence of warped product hemi-slant submanifolds and give some examples of LP-Sasakian ...
S. K. Hui, S. Uddin, C. Özel, A. A. Mustafa   +3 more
doaj   +1 more source

The Lawson-Simons' theorem on warped product submanifolds with geometric information

AIMS Mathematics, 2021
The main objective of this paper is to investigate topological properties from the view point of compact warped product submanifolds of a space form with the vanishing constant sectional curvature.
Ali H. Alkhaldi, Akram Ali, Jae Won Lee
doaj   +1 more source

Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces

Journal of mathematics, 2021
In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ω
Yanlin Li, Akram Ali, F. Mofarreh, N. Alluhaibi   +3 more
semanticscholar   +1 more source

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

Journal of Mathematics, 2022
In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim, Jin Hyuk Choi, Sang Deok Lee, Chang Yong Han   +3 more
doaj   +1 more source

Classification of Warped Product Submanifolds in Kenmotsu Space Forms Admitting Gradient Ricci Solitons

Mathematics, 2019
The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj   +1 more source

Width estimate and doubly warped product [PDF]

, 2020
In this paper, we give an affirmative answer to Gromov's conjecture ([3, Conjecture E]) by establishing an optimal Lipschitz lower bound for a class of smooth functions on orientable open $3$-manifolds with uniformly positive sectional curvatures.
Jintian Zhu
semanticscholar   +1 more source

Ricci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting nearly Sasakian structure

AIMS Mathematics, 2021
The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-warped product submanifold isometrically immersed in a generalized Sasakian space form admitting a trans-Sasakian structure in the expressions of the squared ...
Ibrahim Al-Dayel, M. Khan
semanticscholar   +1 more source