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Zeitschrift für Analysis und ihre Anwendungen


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Volume 27, Issue 4, 2008, pp. 451–461
DOI: 10.4171/ZAA/1364

Published online: 2008-12-31

Uniform Rectifiability from Mean Curvature Bounds

Stephan Luckhaus[1]

(1) Universität Leipzig, Germany

A version of Allard's rectifiability theorem with explicit bounds is given. The condition on the mean curvature would correspond to a bound in Sobolev spaces with fractional negative exponents.

Keywords: Varifolds, rectifiability

Luckhaus Stephan: Uniform Rectifiability from Mean Curvature Bounds. Z. Anal. Anwend. 27 (2008), 451-461. doi: 10.4171/ZAA/1364