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arXiv · 0808.3665

Second order rectifiability of integral varifolds of locally bounded first variation

Ulrich Menne
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Abstract

In this work it is shown that every integral varifold in an open subset of Euclidian space of locally bounded first variation can be covered by a countable collection of submanifolds of class C^2. Moreover, the mean curvature of each member of the collection agrees with the mean curvature of the varifold almost everywhere with respect to the varifold.

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Ulrich Menne. 2008-08-27. Second order rectifiability of integral varifolds of locally bounded first variation. https://doi.org/10.1007/s12220-011-9261-5

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