EXTRINSIC SHAPES OF TRAJECTORIES ON REAL HYPERSURFACES OF TYPE (B) IN A COMPLEX HYPERBOLIC SPACE

2019 ◽  
Author(s):  
Tuya BAO ◽  
Toshiaki ADACHI
Keyword(s):  
Hyperbolic Space ◽  
Complex Hyperbolic Space ◽  
Real Hypersurfaces ◽  
Type B

scholarly journals Existence and uniqueness of inhomogeneous ruled hypersurfaces with shape operator of constant norm in the complex hyperbolic space

2021 ◽  
pp. 2150049
Author(s):  
Miguel Domínguez-Vázquez ◽  
Olga Pérez-Barral
Keyword(s):  
Hyperbolic Space ◽  
Complex Space ◽  
Shape Operator ◽  
Complex Hyperbolic Space ◽  
Real Hypersurfaces ◽  
Space Forms ◽  
Nonflat Complex Space Forms ◽  
Ruled Real Hypersurfaces ◽  
Complex Space Forms

We complete the classification of ruled real hypersurfaces with shape operator of constant norm in nonflat complex space forms by showing the existence of a unique inhomogeneous example in the complex hyperbolic space.

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