An interior curvature bound for hypersurfaces of prescribed k-th mean curvature

Research Report MRR98-064

An interior curvature bound for hypersurfaces of prescribed k-th mean curvature

John Urbas

Abstract: We derive an interior curvature bound for k-admissible hypersurfaces in ${\Bbb R}^{n+1}$ of prescribed k-th mean curvature in terms of the

norm of the mean curvature for some p>kn/2. Examples show that in the cases $k\ge 3$ such a bound is generally false if p is not sufficiently large.

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Download paper:	PDF file (233K)
	gzipped DVI file (26K)

Download cover sheet:	PDF file (52K)
	DVI file (2K)