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Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean curvature

Urbas, John


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.

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Communications in Analysis and Geometry


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