Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean curvature
Date
2003
Authors
Urbas, John
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Publisher
International Press
Abstract
We derive interior curvature bounds for strictly spacelike hypersurfaces of prescribed k-th mean curvature in Minkowski space analogous to those we derived in previous work on the Euclidean case. The estimates depend on a sufficiently large Lp norm of the mean curvature. Examples similar to those in the Euclidean case show that if k ≥ 3, such curvature bounds are generally false if p is not sufficiently large.
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Source
Communications in Analysis and Geometry
Type
Journal article