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
Mathematik (insg.)
Electronic version(s)
https://doi.org/10.1007/s00208-012-0827-8 (Access: Unbekannt)