Publications at the Riemann Center
Evolution of spacelike surfaces in AdS3 by their Lagrangian angle
- authored by
- Knut Smoczyk
- Abstract
We study spacelike hypersurfaces M in an anti-De Sitter spacetime N of constant sectional curvature -κκ>0 that evolve by the Lagrangian angle of their Gauß maps. In the two dimensional case we prove a convergence result to a maximal spacelike surface, if the Gauß curvature K of the initial surface M⊂N and the sectional curvature of N satisfy {pipe}K{pipe}≤k.
- Organisation(s)
-
Institut für Differentialgeometrie
Riemann Center for Geometry and Physics
- Type
- Artikel
- Journal
- Mathematische Annalen
- Volume
- 355
- Pages
- 1443-1468
- No. of pages
- 26
- ISSN
- 0025-5831
- Publication date
- 01.01.2013
- Publication status
- Veröffentlicht
- Peer reviewed
- Yes
- ASJC Scopus Sachgebiete
- Allgemeine Mathematik
- Electronic version(s)
-
https://doi.org/10.1007/s00208-012-0827-8 (Access:
Unbekannt)