Communications in Analysis and Geometry
Volume 11 (2003)
Interior Curvature Bounds For Spacelike Hypersurfaces Of Prescribed k-th Mean Curvature
Pages: 235 – 261
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.