| Title:
|
A certain tensor on real hypersurfaces in a nonflat complex space form (English) |
| Author:
|
Okumura, Kazuhiro |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
1059-1077 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(\phi , \xi , \eta , g)$ induced from the ambient space. As a matter of course, many geometers have investigated real hypersurfaces in a nonflat complex space form from the viewpoint of almost contact metric geometry. On the other hand, it is known that the tensor field $h$ $(=\frac 12 \mathcal {L}_\xi \phi )$ plays an important role in contact Riemannian geometry. In this paper, we investigate real hypersurfaces in a nonflat complex space form from the viewpoint of the parallelism of the tensor field $h$. (English) |
| Keyword:
|
nonflat complex space form |
| Keyword:
|
real hypersurface |
| Keyword:
|
Hopf hypersurface |
| Keyword:
|
ruled real hypersurface |
| Keyword:
|
the tensor field $h$ |
| MSC:
|
53B25 |
| MSC:
|
53C40 |
| MSC:
|
53D15 |
| idZBL:
|
07285979 |
| idMR:
|
MR4181796 |
| DOI:
|
10.21136/CMJ.2020.0128-19 |
| . |
| Date available:
|
2020-11-18T09:46:11Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148411 |
| . |
| Reference:
|
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