Results 1 to 10 of about 113 (93)

A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor

open access: yesAdvances in Mathematical Physics, 2021
In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi   +3 more
doaj   +2 more sources

Inequalities for the Class of Warped Product Submanifold of Para-Cosymplectic Manifolds

open access: yesAdvances in Mathematical Physics, 2022
The aim of this paper is to study the warped product pointwise semislant submanifolds in the para-cosymplectic manifold with the semi-Riemannian metric.
Fatemah Mofarreh   +4 more
doaj   +2 more sources

Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms

open access: yesAdvances in Mathematical Physics, 2021
The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations.
Ibrahim Al-Dayel
doaj   +2 more sources

Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

open access: yesJournal of Mathematics, 2023
This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection.
Ibrahim Al-Dayel   +2 more
doaj   +2 more sources

Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

open access: yesAdvances in Mathematical Physics, 2021
In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
doaj   +2 more sources

On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
doaj   +3 more sources

A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications

open access: yesAdvances in Mathematical Physics, 2021
In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
doaj   +2 more sources

Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms

open access: yesMathematics, 2020
The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
doaj   +3 more sources

Geometric inequalities for warped product bi-slant submanifolds with a warping function [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which ...
Aliya Naaz Siddiqui   +2 more
doaj   +2 more sources

Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces

open access: yesJournal of Mathematics, 2021
In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li   +3 more
doaj   +2 more sources

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