We study compact spacelike hypersurfaces (necessarily with non-empty boundary) with constant mean curvature in the (n + 1)-dimensional Lorentz-Minkowski space. In particular, when the boundary is a round sphere we prove that the only such hypersurfaces are the hyperplanar round balls (with zero mean
β¦ LIBER β¦
Spacelike hypersurfaces with prescribed boundary values and mean curvature
β Scribed by Robert Bartnik; Leon Simon
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 941 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Constant mean curvature spacelike hypers
β
Luis J. AlΓas; JosΓ©A. Pastor
π
Article
π
1998
π
Elsevier Science
π
English
β 502 KB
Spacelike hypersurfaces of prescribed Ga
β
Yong Huang; Huai Yu Jian; Ning Su
π
Article
π
2009
π
Institute of Mathematics, Chinese Academy of Scien
π
English
β 224 KB
Deforming convex hypersurfaces to a hype
β
Huaiyu Jian
π
Article
π
1999
π
SP Science China Press
π
English
β 394 KB
Locally convex hypersurfaces of prescrib
β
Nina M. Ivochkina; Friedrich Tomi
π
Article
π
1998
π
Springer
π
English
β 163 KB
The existence ofk-convex hypersurface wi
β
Fei Han; Xi-Nan Ma; Damin Wu
π
Article
π
2010
π
Springer
π
English
β 340 KB
Spacelike hypersurfaces with constant hi
β
Luis J. AlΓas; J. Miguel Malacarne
π
Article
π
2002
π
Elsevier Science
π
English
β 115 KB
In this paper, we develop a series of general integral formulae for compact spacelike hypersurfaces with hyperplanar boundary in the (n + 1)-dimensional Minkowski space-time L n+1 . As an application of them, we prove that the only compact spacelike hypersurfaces in L n+1 having constant higher orde