Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds

2001 ◽  
Vol 133 (3) ◽  
pp. 177-195 ◽  
Author(s):  
Bang-Yen Chen
Keyword(s):  
Warped Product ◽  
Kaehler Manifolds ◽  
Cr Submanifolds

Warped product CR-submanifolds in locally conformal Kaehler manifolds

2004 ◽  
Vol 48 (1/2) ◽  
pp. 207-221 ◽  
Author(s):  
Vittoria Bonanzinga ◽  
Koji Matsumoto
Keyword(s):  
Warped Product ◽  
Kaehler Manifolds ◽  
Locally Conformal ◽  
Cr Submanifolds

scholarly journals Warped product submanifolds of Kaehler manifolds with a slant factor

2009 ◽  
Vol 95 (3) ◽  
pp. 207-226 ◽  
Author(s):  
Bayram Sahin
Keyword(s):  
Warped Product ◽  
Kaehler Manifolds

scholarly journals Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Yanlin Li ◽  
Ali H. Alkhaldi ◽  
Akram Ali
Keyword(s):  
Warped Product ◽  
Complex Space ◽  
Slant Submanifold ◽  
Codazzi Equation ◽  
Space Forms ◽  
Kaehler Manifolds ◽  
Slant Submanifolds ◽  
Generalized Complex ◽  
Complex Space Forms ◽  
Nearly Kaehler Manifold

In this study, we develop a general inequality for warped product semi-slant submanifolds of type M n = N T n 1 × f N ϑ n 2 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. It is also described how to classify warped product semi-slant submanifolds that satisfy the equality cases of inequalities (determined using boundary conditions). Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions.

scholarly journals Another class of warped product CR-submanifolds in Kenmotsu manifolds

2017 ◽  
Vol 17 (01) ◽  
pp. 148-157 ◽  
Author(s):  
Siraj Uddin ◽  
Azeb Alghanemi ◽  
Monia Fouad Naghi ◽  
Falleh Rijaullah Al-Solamy
Keyword(s):  
Warped Product ◽  
Kenmotsu Manifolds ◽  
Cr Submanifolds

scholarly journals Warped product CR-submanifolds of Sasakian manifolds with respect to certain connections

2019 ◽  
Vol 25 (3) ◽  
pp. 194-202
Author(s):  
Shyamal Kumar Hui ◽  
Joydeb Roy
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Sasakian Manifolds ◽  
Metric Connection ◽  
Cr Submanifolds

The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.

scholarly journals On warped product bi-slant submanifolds of Kenmotsu manifolds

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Siraj Uddin ◽  
Ion Mihai ◽  
Adela Mihai
Keyword(s):  
Fundamental Form ◽  
Warped Product ◽  
Second Fundamental Form ◽  
Warping Function ◽  
Equality Case ◽  
General Inequality ◽  
Kaehler Manifolds ◽  
Slant Submanifolds ◽  
The Second Fundamental Form ◽  
Kenmotsu Manifolds

Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).In this paper, we establish a relationship for the squared norm of the second fundamental form (an extrinsic invariant) of warped product bi-slant submanifolds of Kenmotsu manifolds in terms of the warping function (an intrinsic invariant) and bi-slant angles. The equality case is also considered. Some applications of derived inequality are given.

Sign in / Sign up

Export Citation Format

Share Document