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Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space
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Pierre Bayard
Pierre BayardInstituto de Física y Matemáticas, U.M.S.N.H. Ciudad Universitaria, CP. 58040 Morelia, Michoacán, Mexico. e-mail: bayard@ifm.umich.mxSearch for this author in:
Oliver C. SchnürerFreie Universität Berlin, Arnimallee 6, 14195 Berlin, Germany. e-mail: Oliver.Schnuerer@math.fu-berlin.deSearch for this author in:
Published/Copyright:
January 8, 2009
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.
Received: 2007-04-20
Published Online: 2009-01-08
Published in Print: 2009-February
© Walter de Gruyter Berlin · New York 2009
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