| Title:
|
Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product (English) |
| Author:
|
de Lima, Eudes L. |
| Author:
|
de Lima, Henrique F. |
| Author:
|
Lima, Eraldo A. Jr. |
| Author:
|
Medeiros, Adriano A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
58 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
183-196 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we extend a technique due to Romero et al. establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed into a Lorentzian Killing warped product whose Riemannian base has parabolic universal Riemannian covering. As applications, we obtain rigidity results concerning these hypersurfaces. A particular study of entire Killing graphs is also made. (English) |
| Keyword:
|
Lorentzian Killing warped product |
| Keyword:
|
complete spacelike hypersurfaces |
| Keyword:
|
parabolic spacelike hypersurfaces |
| Keyword:
|
entire Killing graphs |
| MSC:
|
53B30 |
| MSC:
|
53C42 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 06773713 |
| idMR:
|
MR3666940 |
| DOI:
|
10.14712/1213-7243.2015.204 |
| . |
| Date available:
|
2017-06-13T13:22:56Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146787 |
| . |
| Reference:
|
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