Results 51 to 60 of about 163 (136)

Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds

Arab Journal of Mathematical Sciences, 2014
In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar, Rachna Rani, Manish Gogna, R.K. Nagaich   +3 more
doaj   +1 more source

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 ...
Al-Luhaibi, Nadia S., Al-Solamy, Falleh R., Khan, Viqar Azam   +2 more
openaire   +2 more sources

Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms

Axioms
This paper investigates the relationship between homology groups and warped product semi-slant submanifolds in Kenmotsu space forms. Some rigidity theorems for vanishing homology groups on warped product semi-slant submanifolds are obtained using the ...
Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali, Fatemah Mofarreh, Piscoran Laurian-Ioan   +4 more
doaj   +1 more source

On differential equations classifying a warped product submanifold of cosymplectic space forms

Journal of Inequalities and Applications, 2021
In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020:241, 2020) by using differential equations (García-Río et al. in J. Differ. Equ. 194(2):287–299, 2003; Pigola et al. in Math. Z. 268:777–790, 2011; Tanno in J. Math.
Akram Ali, Fatemah Mofarreh, Rifaqat Ali, Irfan Anjum Badruddin   +3 more
doaj   +1 more source

Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms

Journal of Inequalities and Applications, 2020
In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary ...
Akram Ali, Fatemah Mofarreh, Wan Ainun Mior Othman, Dhriti Sundar Patra   +3 more
doaj   +1 more source

Certain investigations of sequential warped product submanifolds on cosymplectic manifolds

Journal of Inequalities and Applications, 2023
In a special class of almost contact metric manifolds known as cosymplectic manifolds, the current study aims to establish the existence result and a few inequalities for sequential warped product submanifolds.
Anil Sharma, Anuj Kumar, Nasser Bin Turki, Sameh Shenawy   +3 more
doaj   +1 more source

C-totally real warped product submanifolds

Annals of the Alexandru Ioan Cuza University - Mathematics, 2012
15 ...
openaire   +2 more sources

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker, Ankit Yadav, Ramandeep Kaur   +2 more
doaj   +1 more source

Warped product submanifolds of Lorentzian paracosymplectic manifolds [PDF]

Arabian Journal of Mathematics, 2012
In this paper we study the warped product submanifolds of a Lorentzian paracosymplectic manifold and obtain some nonexistence results. We show that a warped product semi-invariant submanifold in the form {$M=M_{T}\times_{f}M_{\bot}$} of Lorentzian paracosymplectic manifold such that the characteristic vector field is normal to $M$ is an usual ...
Yüksel Perktaş, Selcen, Kılıç, Erol, Keleş, Sadık   +2 more
openaire   +2 more sources

On the Topology of Warped Product Manifolds Minimally Immersed into a Sphere

Axioms
In this paper, we investigate the geometry and topology of compact warped product minimal submanifolds of arbitrary codimension immersed in a sphere.
Fatimah Alghamdi, Muhammad Altanji
doaj   +1 more source