| Title:
|
Geometry of holomorphic distributions of real hypersurfaces in a complex projective space (English) |
| Author:
|
Ki, U-Hang |
| Author:
|
Kimura, Makoto |
| Author:
|
Maeda, Sadahiro |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
197-204 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 $M$. (English) |
| Keyword:
|
complex projective space |
| Keyword:
|
real hypersurfaces |
| Keyword:
|
holomorphic distribution |
| MSC:
|
53B25 |
| MSC:
|
53C40 |
| idZBL:
|
Zbl 1079.53031 |
| idMR:
|
MR1814645 |
| . |
| Date available:
|
2009-09-24T10:41:26Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127639 |
| . |
| Reference:
|
[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 |
| Reference:
|
[2] M. Kimura: Real hypersurfaces and complex submanifolds in complex projective space.Trans. Amer. Math. Soc. 296 (1986), 137–149. Zbl 0597.53021, MR 0837803, 10.1090/S0002-9947-1986-0837803-2 |
| Reference:
|
[3] M. Kimura and S. Maeda: On real hypersurfaces of a complex projective space.Math. Z. 202 (1989), 299–311. MR 1017573, 10.1007/BF01159962 |
| Reference:
|
[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 |
| Reference:
|
[5] Y. Maeda: On real hypersurfaces of a complex projective space.J. Math. Soc. Japan 28 (1976), 529–540. Zbl 0324.53039, MR 0407772, 10.2969/jmsj/02830529 |
| Reference:
|
[6] K. Ogiue: Differential geometry of Kaehler submanifolds.Adv. Math. 13 (1974), 73–114. Zbl 0275.53035, MR 0346719, 10.1016/0001-8708(74)90066-8 |
| Reference:
|
[7] R. Takagi: On homogeneous real hypersurfaces of a complex projective space.Osaka J. Math. 10 (1973), 495–506. MR 0336660 |
| Reference:
|
[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. MR 0400120, 10.2969/jmsj/02710043 |
| . |
