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 …

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 …

Hypersurfaces of a Sasakian manifold-revisited

S Deshmukh, O Belova, NB Turki, GE Vîlcu - Journal of Inequalities and …, 2021 - Springer
We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a
Sasakian manifold determines a vector field v on a hypersurface that is the component of the …

[PDF][PDF] Geometric inequalities of PR-warped product submanifold in para-Kenmotsu manifold

F Mofarreh, SK Srivastava, A Kumar, A Ali - AIMS MATHEMATICS, 2022 - aimspress.com
The main purpose of this paper is to study the properties of PR-semi-invariant submanifold
of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant …

CR-warped product submanifolds of a generalized complex space form

MA Khan, AA Ishan - Cogent Mathematics, 2017 - Taylor & Francis
Full article: CR-warped product submanifolds of a generalized complex space form Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

[PDF][PDF] Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure

AA Ishan, MA Khan - J. Nonlinear Sci. Appl, 2019 - academia.edu
This paper studies the contact CR-warped product submanifolds of a generalized Sasakian
space form admitting a nearly Sasakian structure. Some Characterization of the existence of …

Hypersurfaces of a Sasakian manifold-revisited

D Sharief, O Belova, NB Turki… - Journal of Inequalities …, 2021 - search.proquest.com
We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a
Sasakian manifold determines a vector field v on a hypersurface that is the component of the …

[PDF][PDF] Warped product submanifolds of a generalized Sasakian space form admitting nearly cosymplectic structure

AA Ishan, MA Khan - Italian Journal of Pure and Applied Mathematics, 2020 - ijpam.uniud.it
In this paper we consider semi-invariant warped product submanifolds of the type M= NT× ψ
N⊥ of a generalized Sasakian space form M (f1, f2, f3) admitting nearly cosymplectic …