Generalized Killing–Ricci Tensor for Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Young Jin Suh
Keyword(s):  
Ricci Tensor ◽  
Real Hypersurfaces

scholarly journals Lie Derivatives and Ricci Tensor on Real Hypersurfaces in Complex Two-plane Grassmannians

2018 ◽  
Vol 61 (3) ◽  
pp. 543-552
Author(s):  
Imsoon Jeong ◽  
Juan de Dios Pérez ◽  
Young Jin Suh ◽  
Changhwa Woo
Keyword(s):  
Vector Field ◽  
Differential Operator ◽  
Ricci Tensor ◽  
Real Hypersurface ◽  
Real Hypersurfaces ◽  
Reeb Vector ◽  
Reeb Vector Field ◽  
Lie Derivatives ◽  
Lie Derivation

AbstractOn a real hypersurface M in a complex two-plane Grassmannian G2() we have the Lie derivation and a differential operator of order one associated with the generalized Tanaka–Webster connection . We give a classification of real hypersurfaces M on G2() satisfying , where ξ is the Reeb vector field on M and S the Ricci tensor of M.

scholarly journals Real hypersurfaces of a complex projective space

1986 ◽  
Vol 33 (3) ◽  
pp. 383-387 ◽  
Author(s):  
M. Kimura
Keyword(s):  
Projective Space ◽  
Ricci Tensor ◽  
Complex Projective Space ◽  
Real Hypersurfaces ◽  
Principal Curvatures ◽  
Locally Homogeneous ◽  
Complex Projective

We study real hypersurfaces M of a complex projective space and show that a condition on the derivative of the Ricci Tensor of M implies M is locally homogeneous with two or three principal curvatures.

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