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 …

[图书][B] Differential geometry of lightlike submanifolds

KL Duggal, B Sahin - 2011 - books.google.com
Page 1 Differential Geometry. Lightlike Submanifolds Page 2 Page 3 Frontiers in Mathematics
Advisory Editorial Board Leonid Bunimovich (Georgia Institute of Technology, Atlanta) Benoît …

-Invariants, Inequalities of Submanifolds and Their Applications

BY Chen - arXiv preprint arXiv:1307.1877, 2013 - arxiv.org
The famous Nash embedding theorem was aimed for in the hope that if Riemannian
manifolds could be regarded as Riemannian submanifolds, this would then yield the …

[HTML][HTML] Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions

A Ali, P Laurian-Ioan - Journal of Geometry and Physics, 2017 - Elsevier
In this paper, some relations among the second fundamental form which is an extrinsic
invariant, Laplacian of the warping function and constant sectional curvature of a warped …

Kenmotsu manifolds satisfying the Fischer-Marsden equation

SK Chaubey, UC De, YJ Suh - Journal of the Korean Mathematical …, 2021 - koreascience.kr
The present paper deals with the study of Fischer-Marsden conjecture on a Kenmotsu
manifold. It is proved that if a Kenmotsu metric satisfies 𝔏* g (λ)= 0 on a (2n+ 1)-dimensional …

B.-Y. Chen's inequality for bi-warped products and its applications in Kenmotsu manifolds

S Uddin, FR Al-Solamy, MH Shahid… - Mediterranean Journal of …, 2018 - Springer
In this paper, we establish a sharp inequality for the squared norm of the second
fundamental form of bi-warped product submanifolds of Kenmotsu manifolds. The equality …

Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds

S Uddin - Bulletin of Mathematical Sciences, 2018 - Springer
In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu
manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an …

[PDF][PDF] Characterization of warped product submanifolds in Kenmotsu manifolds

A Mustafa, A De, S Uddin - Balkan J. Geom. Appl, 2015 - emis.icm.edu.pl
In the present paper, we show the existence of warped product semi-slant submanifolds in a
Kenmotsu manifold by an example. We locally characterize the warped product semi-slant …

Contact CR-warped product submanifolds in cosymplectic space forms

M Atçeken - Collectanea mathematica, 2011 - Springer
Contact CR-warped product submanifolds in cosymplectic space forms Page 1 Collect. Math.
(2011) 62:17–26 DOI 10.1007/s13348-010-0002-z Contact CR-warped product submanifolds …

Contact CR-warped product submanifolds of nearly trans-Sasakian manifolds

A Mustafa, S Uddin, V Khan, B Wong - 2013 - projecteuclid.org
Recently, many authors studied the relations between the squared norm of the second
fundamental form (extrinsic invariant) and the warping function (intrinsic invariant) for …