CR-Warped Submanifolds in Kaehler Manifolds

2016 ◽  
pp. 1-25 ◽  
Author(s):  
Bang-Yen Chen
Keyword(s):  
Kaehler Manifolds

scholarly journals Semi-invariant Riemannian submersions from nearly Kaehler manifolds

2020 ◽  
Vol 17 (07) ◽  
pp. 2050100
Author(s):  
Rupali Kaushal ◽  
Rashmi Sachdeva ◽  
Rakesh Kumar ◽  
Rakesh Kumar Nagaich
Keyword(s):  
Sufficient Conditions ◽  
Riemannian Submersion ◽  
Horizontal Distribution ◽  
Product Manifold ◽  
Riemannian Submersions ◽  
Kaehler Manifolds ◽  
Necessary And Sufficient ◽  
Nearly Kaehler Manifold ◽  
The Vertical Distribution ◽  
Usual Product

We study semi-invariant Riemannian submersions from a nearly Kaehler manifold to a Riemannian manifold. It is well known that the vertical distribution of a Riemannian submersion is always integrable therefore, we derive condition for the integrability of horizontal distribution of a semi-invariant Riemannian submersion and also investigate the geometry of the foliations. We discuss the existence and nonexistence of semi-invariant submersions such that the total manifold is a usual product manifold or a twisted product manifold. We establish necessary and sufficient conditions for a semi-invariant submersion to be a totally geodesic map. Finally, we study semi-invariant submersions with totally umbilical fibers.

scholarly journals INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS

2012 ◽  
Vol 27 (3) ◽  
pp. 591-602 ◽  
Author(s):  
Rakesh Kumar ◽  
Sangeet Kumar ◽  
Rakesh Kumar Nagaich
Keyword(s):  
Kaehler Manifolds ◽  
Lightlike 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.

Hyperholomorphic theory on kaehler manifolds

2012 ◽  
Vol 32 (2) ◽  
pp. 586-604
Author(s):  
Tang Dongmei ◽  
Zhong Tongde ◽  
Qiu Chunhui
Keyword(s):  
Kaehler Manifolds

Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds

1990 ◽  
Vol 205 (1) ◽  
pp. 629-644 ◽  
Author(s):  
Yoshihiro Ohnita ◽  
Seiichi Udagawa
Keyword(s):  
Kaehler Manifolds ◽  
Pluriharmonic Maps
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