CHARACTERIZATIONS OF BERGER SPHERES FROM THE VIEWPOINT OF SUBMANIFOLD THEORY

2019 ◽  
Vol 62 (1) ◽  
pp. 137-145 ◽  
Author(s):  
BYUNG HAK KIM ◽  
IN-BAE KIM ◽  
SADAHIRO MAEDA
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Contact Structures ◽  
Real Hypersurfaces ◽  
Berger Spheres ◽  
Geodesic Spheres ◽  
Complex Projective

AbstractIn this paper, Berger spheres are regarded as geodesic spheres with sufficiently big radii in a complex projective space. We characterize such real hypersurfaces by investigating their geodesics and contact structures from the viewpoint of submanifold theory.

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.

Sign in / Sign up

Export Citation Format

Share Document