On the non-existence of common submanifolds of Kähler manifolds and complex space forms

2021 ◽  
Author(s):  
Xiaoliang Cheng ◽  
Yihong Hao
Keyword(s):  
Complex Space ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Space Forms ◽  
Complex Space Forms

scholarly journals BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS

2013 ◽  
Vol 55 (2) ◽  
pp. 465-480 ◽  
Author(s):  
SHUN MAETA ◽  
HAJIME URAKAWA
Keyword(s):  
Complex Space ◽  
Lagrangian Submanifolds ◽  
Sufficient Conditions ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Two Dimensional ◽  
Space Forms ◽  
Lagrangian Surfaces ◽  
Necessary And Sufficient ◽  
Complex Space Forms

AbstractWe give the necessary and sufficient conditions for Lagrangian submanifolds in Kähler manifolds to be biharmonic. We classify biharmonic PNMC Lagrangian H-umbilical submanifolds in the complex space forms. Furthermore, we classify biharmonic PNMC Lagrangian surfaces in the two-dimensional complex space forms.

scholarly journals Kähler immersions of homogeneous Kähler manifolds into complex space forms

2012 ◽  
Vol 16 (3) ◽  
pp. 479-487 ◽  
Author(s):  
Antonio Jose di Scalia ◽  
Hideyuki Ishi ◽  
Andrea Loi
Keyword(s):  
Complex Space ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Space Forms ◽  
Complex Space Forms
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