Second order rectifiability of integral varifolds of locally bounded first 
variation

Menne, Ulrich

doi:10.1007/s12220-011-9261-5

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Second order rectifiability of integral varifolds of locally bounded first variation

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Menne, Ulrich
Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Menne, U. (2013). Second order rectifiability of integral varifolds of locally bounded first variation. Journal of Geometric Analysis, 23, 709-763. doi:10.1007/s12220-011-9261-5.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-602B-2

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.