Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean curvature
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.
|Collections||ANU Research Publications|
|Source:||Communications in Analysis and Geometry|