scholarly journals Lagrangian submanifolds in complex space forms satisfying an improved equality involving $\delta(2,2)$

2013 ◽  
Vol 82 (1) ◽  
pp. 193-217 ◽  
Author(s):  
BANG-YEN CHEN ◽  
ALICIA PRIETO-MARTIN ◽  
XIANFENG WANG
Keyword(s):  
Complex Space ◽  
Lagrangian Submanifolds ◽  
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 Classification of δ(2,n− 2)-ideal Lagrangian submanifolds in n-dimensional complex space forms

2018 ◽  
Vol 458 (2) ◽  
pp. 1456-1485 ◽  
Author(s):  
Bang-Yen Chen ◽  
Franki Dillen ◽  
Joeri Van der Veken ◽  
Luc Vrancken
Keyword(s):  
Complex Space ◽  
Lagrangian Submanifolds ◽  
Space Forms ◽  
Complex Space Forms
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