Real hypersurfaces of a complex projective space

2009 ◽  
pp. 103-111 ◽  
Author(s):  
Mirjana Djorić ◽  
Masafumi Okumura
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurfaces ◽  
Complex Projective

Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel

2013 ◽  
Vol 56 (2) ◽  
pp. 306-316 ◽  
Author(s):  
Juan de Dios Pérez ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Complex Projective

AbstractWe prove the non-existence of real hypersurfaces in complex projective space whose structure Jacobi operator is Lie 𝔻-parallel and satisfies a further condition.

scholarly journals A note on real hypersurfaces of a complex projective space

1989 ◽  
Vol 47 (1) ◽  
pp. 108-113 ◽  
Author(s):  
Jung-Hwan Kwon ◽  
Hisao Nakagawa
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurfaces ◽  
Harmonic Curvature ◽  
Complex Projective

AbstractWe study real hypersurfaces of a complex projection space and show that there are no such hypersurfaces with harmonic curvature on which the structure vector is principal.

scholarly journals On real hypersurfaces of a complex projective space Ⅱ

1991 ◽  
Vol 15 (2) ◽  
pp. 547-561 ◽  
Author(s):  
Makoto Kimura ◽  
Sadahiro Maeda
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Real Hypersurfaces ◽  
Complex Projective

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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