| Title:
|
Real hypersurfaces with constant totally real sectional curvature in a complex space form (English) |
| Author:
|
Ortega, Miguel |
| Author:
|
Pérez, Juan de Dios |
| Author:
|
Suh, Young Jin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
531-537 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature. (English) |
| Keyword:
|
real hypersurfaces |
| Keyword:
|
holomorphic and totally real sectional curvature |
| MSC:
|
53C40 |
| MSC:
|
53C42 |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 1079.53507 |
| idMR:
|
MR1777474 |
| . |
| Date available:
|
2009-09-24T10:35:19Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127590 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] 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:
|
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| Reference:
|
[5] R. Niebergall, P. J. Ryan: Real hypersurfaces in complex space forms.Cambridge University Press. Math. Sci. Res. Inst. Publ. 32 (1997), 233–305. MR 1486875 |
| Reference:
|
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| Reference:
|
[7] D. J. Sohn, Y. J. Suh: Classification of real hypersurfaces in complex hyperbolic space in terms of constant $\phi $-holomorphic sectional curvature.Kyungpook Math. J. 35 (1996), 801–819. MR 1678228 |
| Reference:
|
[8] Y. J.Suh: A characterization of ruled real hypersurfaces in $P_nC$.J. Korean Math. Soc. 29 (1992), 351–359. MR 1180662 |
| Reference:
|
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| . |
