Article
Keywords:
complex projective space; real hypersurfaces; holomorphic distribution
Summary:
We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$.
References:
[1] T. Cecil and P. Ryan:
Focal sets and real hypersurfaces in complex projective space. Trans. Amer. Math. Soc. 269 (1982), 481–499.
MR 0637703
[4] M. Kimura and S. Maeda:
Lie derivatives on real hypersurfaces in a complex projective space. Czechoslovak Math. J. 45 (1995), 135–148.
MR 1314536
[7] R. Takagi:
On homogeneous real hypersurfaces of a complex projective space. Osaka J. Math. 10 (1973), 495–506.
MR 0336660
[8] R. Takagi:
Real hypersurfaces in a complex projective space with constant principal curvatures I, II. J. Math. Soc. Japan 27 (1975), 43–53, 507–516.
DOI 10.2969/jmsj/02710043 |
MR 0400120