| Title:
|
Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator (English) |
| Author:
|
Pak, Eunmi |
| Author:
|
de Dios Pérez, Juan |
| Author:
|
Machado, Carlos J. G. |
| Author:
|
Woo, Changhwa |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
207-218 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the classifying problem of immersed submanifolds in Hermitian symmetric spaces. Typically in this paper, we deal with real hypersurfaces in a complex two-plane Grassmannian $G_2({\mathbb C}^{m+2})$ which has a remarkable geometric structure as a Hermitian symmetric space of rank 2. In relation to the generalized Tanaka-Webster connection, we consider a new concept of the parallel normal Jacobi operator for real hypersurfaces in $G_2({\mathbb C}^{m+2})$ and prove non-existence of real hypersurfaces in $G_2({\mathbb C}^{m+2})$ with generalized Tanaka-Webster parallel normal Jacobi operator. (English) |
| Keyword:
|
real hypersurface |
| Keyword:
|
complex two-plane Grassmannian |
| Keyword:
|
Hopf hypersurface |
| Keyword:
|
generalized Tanaka-Webster connection |
| Keyword:
|
normal Jacobi operator |
| Keyword:
|
generalized Tanaka-Webster parallel normal Jacobi operator |
| MSC:
|
53C15 |
| MSC:
|
53C40 |
| idZBL:
|
Zbl 06433730 |
| idMR:
|
MR3336034 |
| DOI:
|
10.1007/s10587-015-0169-2 |
| . |
| Date available:
|
2015-04-01T12:35:25Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144222 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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