| Title:
|
Real hypersurfaces in complex space forms concerned with the local symmetry (English) |
| Author:
|
Lyu, Seon Mi |
| Author:
|
Pérez, Juan de Dios |
| Author:
|
Suh, Young Jin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
885-905 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_m(4\epsilon )$. In the second, we give a complete classification of real hypersurfaces in $M_m(4\epsilon )$ which satisfy the above geometric facts. (English) |
| Keyword:
|
real hypersurfaces |
| Keyword:
|
local symmetry |
| Keyword:
|
derivations |
| Keyword:
|
Kulkarni-Nomizu product |
| MSC:
|
53C15 |
| MSC:
|
53C40 |
| MSC:
|
53D15 |
| idZBL:
|
Zbl 1174.53034 |
| idMR:
|
MR2356288 |
| . |
| Date available:
|
2009-09-24T11:50:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128214 |
| . |
| Reference:
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