| Title:
|
Spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$ (English) |
| Author:
|
Han, Yingbo |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
79-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form $M^{n+p}_p(c)$, $(c>0)$. We also get some rigidity theorems for such spacelike submanifolds. (English) |
| Keyword:
|
spacelike submanifolds |
| Keyword:
|
indefinite space form |
| MSC:
|
53B30 |
| MSC:
|
53C42 |
| idZBL:
|
Zbl 1240.53097 |
| idMR:
|
MR2684250 |
| . |
| Date available:
|
2010-06-22T22:10:55Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140304 |
| . |
| Reference:
|
[1] Chen, B. Y.: Geometry of Submanifolds.Marcel Dekker, New York, 1973. Zbl 0262.53036, MR 0353212 |
| Reference:
|
[2] Cheng, S. Y., Yau, S. T.: Hypersurfaces with constant scalar curvature.Math. Ann. 225 (1977), 195–204. Zbl 0349.53041, MR 0431043, 10.1007/BF01425237 |
| Reference:
|
[3] Dong, Y. X.: Bernstein theorems for space-like graphs with parallel mean curvature and controlled growth.J. Geom. Phys. 58 (2008), 324–333. Zbl 1147.53043, MR 2394041, 10.1016/j.geomphys.2007.11.007 |
| Reference:
|
[4] Liu, X. M.: Space-like submanifolds with constant scalar curvature.C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), 729–734. Zbl 1028.53059, MR 1843196, 10.1016/S0764-4442(01)01921-8 |
| Reference:
|
[5] Pang, H. D., Xu, S. L., Dai, Sh.: Spacelike hypersurfaces in de sitter space.J. Geom. Phys. 42 (2002), 78–84. Zbl 1005.83013, MR 1894077, 10.1016/S0393-0440(01)00075-4 |
| Reference:
|
[6] Wu, B. Y.: On the volume Gauss map image of spacelike submanifolds in de Sitter space form.J. Geom. Phys. 53 (2005), 336–344. MR 2108534, 10.1016/j.geomphys.2004.07.003 |
| Reference:
|
[7] Wu, B. Y.: On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds.J. Geom. Phys. 56 (2006), 1728–1735. Zbl 1097.53043, MR 2240419, 10.1016/j.geomphys.2005.10.008 |
| . |
