GEOMETRY OF WARPED PRODUCT SUBMANIFOLDS: A SURVEY.

B Chen - Journal of Advanced Mathematical Studies, 2013 - search.ebscohost.com
The warped product N< sub> 1×< sub> f N< sub> 2 of two Riemannian manifolds (N< sub>
1, g< sub> 1) and (N< sub> 2, g< sub> 2) is the product manifold N< sub> 1× N< sub> 2 …

A survey on geometry of warped product submanifolds

BY Chen - arXiv preprint arXiv:1307.0236, 2013 - arxiv.org
The warped product $ N_1\times_f N_2 $ of two Riemannian manifolds $(N_1, g_1) $ and
$(N_2, g_2) $ is the product manifold $ N_1\times N_2 $ equipped with the warped product …

INEQUALITIES FOR GENERALIZED NORMALIZED -CASORATI CURVATURES OF SLANT SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS

J Lee, GE Vîlcu - 2015 - projecteuclid.org
In this paper we prove two sharp inequalities involving the normalized scalar curvature and
the generalized normalized δ-Casorati curvatures for slant submanifolds in quaternionic …

Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature

S Decu, S Haesen, L Verstraelen, GE Vîlcu - Entropy, 2018 - mdpi.com
In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of
constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties …

Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms

V Slesar, B Şahin, GE Vîlcu - Journal of Inequalities and Applications, 2014 - Springer
In this paper we prove two sharp inequalities that relate the normalized scalar curvature with
the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we …

Warped product pointwise semi-slant submanifolds of cosymplectic space forms and their applications

LS Alqahtani - Arab Journal of Mathematical Sciences, 2021 - emerald.com
In this paper some characterizations for the existence of warped product pointwise semi-
slant submanifolds of cosymplectic space forms are obtained. Moreover, a sharp estimate for …

Warped product pointwise semi slant submanifolds of Sasakian space forms and their applications

N Alluhaibi, MA Khan - Advances in Mathematical Physics, 2020 - Wiley Online Library
In this study, we attain some existence characterizations for warped product pointwise semi
slant submanifolds in the setting of Sasakian space forms. Moreover, we investigate the …

Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms

MA Khan, I Al-Dayel - Mathematical Problems in Engineering, 2021 - Wiley Online Library
The biwarped product submanifolds generalize the class of product submanifolds and are
particular case of multiply warped product submanifolds. The present paper studies the …

[PDF][PDF] Semi-slant warped product submanifolds of a trans-Sasakian manifold

M Khan, AA Ishan - Annals of the University of Craiova-Mathematics and …, 2014 - inf.ucv.ro
In this paper we study semi-slant warped product submanifolds of a trans-Sasakian
manifold. A characterization for warped product submanifolds in terms of warping function …

Contact CR-Warped Product of Submanifolds of the Generalized Sasakian Space Forms Admitting a Nearly Trans-Sasakian Structure

MA Khan - Ukrainian Mathematical Journal, 2019 - Springer
In the present paper, we apply Hopf's lemma to the contact CR-warped product
submanifolds of generalized Sasakian space forms admitting nearly trans-Sasakian …