First normal bundle of ideal Lagrangian immersions in complex space forms

2005 ◽  
Vol 138 (3) ◽  
pp. 461-464
Author(s):  
BANG-YEN CHEN
Keyword(s):  
Normal Bundle ◽  
Complex Space ◽  
Space Forms ◽  
Complex Space Forms

scholarly journals Kaehler Submanifolds of Complex Space Forms

1987 ◽  
Vol 10 (1) ◽  
pp. 203-214 ◽  
Author(s):  
Masaaki UMEHARA
Keyword(s):  
Complex Space ◽  
Space Forms ◽  
Complex Space Forms

scholarly journals B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

2003 ◽  
Vol 40 (3) ◽  
pp. 411-423 ◽  
Author(s):  
Jeong-Sik Kim ◽  
Yeong-Moo Song ◽  
Mukut-Mani Tripathi
Keyword(s):  
Complex Space ◽  
Space Forms ◽  
Generalized Complex ◽  
Complex Space Forms

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.

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