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

Urbas, John

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

Date

2000

Authors

Urbas, John

Abstract

We derive an interior curvature bound for k-admissible hypersurfaces in ℝn+1 of prescribed k-th mean curvature in terms of the Lp norm of the mean curvature for some p > kn/2. Examples show that in the cases k ≧ 3 such a bound is generally false if p is not sufficiently large.

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https://dspace-test.anu.edu.au/handle/1885/733722181

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DevOps Pure Testing

Source

Journal fur die Reine und Angewandte Mathematik

Type

Article

DOI

10.1515/crll.2000.016

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

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