Abstract
We prove existence and stability of smooth entire strictly convex spacelike hypersurfaces of prescribed Gauß curvature in Minkowski space. The proof is based on barrier constructions and local a priori estimates.
Managing Editor: Weissauer, Rainer
Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk
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Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space
1Instituto de Física y Matemáticas, U.M.S.N.H. Ciudad Universitaria, CP. 58040 Morelia, Michoacán, Mexico. e-mail: bayard@ifm.umich.mx
2Freie Universität Berlin, Arnimallee 6, 14195 Berlin, Germany. e-mail: Oliver.Schnuerer@math.fu-berlin.de
Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2009, Issue 627, Pages 1–29, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2009.009, January 2009
Publication History:
- Received:
- 2007-04-20
- Published Online:
- 2009-01-08
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