Results 21 to 30 of about 18,512 (114)
Chen‐Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this article, we obtain improved Chen‐Ricci inequalities for submanifolds of generalized space forms with quarter‐symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form.
Ali H. Al-Khaldi +4 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space.
Ibrahim Al-Dayel +2 more
wiley +1 more source
A Study of Doubly Warped Product Immersions in a Nearly Trans‐Sasakian Manifold with Slant Factor
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 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 examples in the support.
Ali H. Alkhaldi +4 more
wiley +1 more source
Totally Umbilical Hemi‐Slant Submanifolds of Kaehler Manifolds [PDF]
Abstract and Applied Analysis, 2011 We study totally umbilical hemi‐slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi‐slant submanifolds of a Kaehler manifold and give an example.
Falleh R. Al-Solamy +2 more
openaire +2 more sources
A General Inequality for CR‐Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 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. Moreover, the inequality generalizes some inequalities for various ambient space forms.
Yanlin Li +3 more
wiley +1 more source
Geometric Mechanics on Warped Product Semi‐Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 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. There are several applications that can be developed from this.
Yanlin Li +3 more
wiley +1 more source
Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The biwarped product submanifolds generalize the class of product submanifolds and are particular case of multiply warped product submanifolds. The present paper studies the biwarped product submanifolds of the type ST×ψ1S⊥×ψ2Sθ in Sasakian space forms S¯c, where ST, S⊥, and Sθ are the invariant, anti‐invariant, and pointwise slant submanifolds of S¯c.
Meraj Ali Khan +2 more
wiley +1 more source
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
doaj +1 more source
On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj +1 more source
Classification of totally umbilical slant submanifolds of a Kenmotsu manifold [PDF]
, 2014 The purpose of this paper is to classify totally umbilical slant submanifolds of a Kenmotsu manifold. We prove that a totally umbilical slant submanifold $M$ of a Kenmotsu manifold $\bar M$ is either invariant or anti-invariant or $dim M=1$ or the mean ...
S. Uddin, Z. Ahsan, A. Yaakub
semanticscholar +1 more source