| Title:
|
New estimates for the first eigenvalue of the Jacobi operator on closed hypersurfaces in Riemannian space forms (English) |
| Author:
|
Liu, Jiancheng |
| Author:
|
Mi, Rong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
881-890 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the first eigenvalue of the Jacobi operator on closed hypersurfaces with constant mean curvature in non-flat Riemannian space forms. Under an appropriate constraint on the totally umbilical tensor of the hypersurfaces and following Meléndez's ideas in J. Meléndez (2014) we obtain a new sharp upper bound of the first eigenvalue of the Jacobi operator. (English) |
| Keyword:
|
Jacobi operator |
| Keyword:
|
first eigenvalue |
| Keyword:
|
closed hypersurface |
| MSC:
|
53C50 |
| idZBL:
|
07250695 |
| idMR:
|
MR4151711 |
| DOI:
|
10.21136/CMJ.2020.0579-18 |
| . |
| Date available:
|
2020-09-07T09:41:49Z |
| Last updated:
|
2022-10-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148334 |
| . |
| Reference:
|
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