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arXiv · 0805.2003

Currents and Flat Chains Associated to Varifolds, with an Application to Mean Curvature Flow

Brian White
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Abstract

We prove under suitable hypotheses that convergence of integral varifolds implies convergence of associated mod 2 flat chains and subsequential convergence of associated integer-multiplicity rectifiable currents. The convergence results imply restrictions on the kinds of singularities that can occur in mean curvature flow.

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Brian White. 2008-05-14. Currents and Flat Chains Associated to Varifolds, with an Application to Mean Curvature Flow. https://doi.org/10.1215/00127094-2009-019

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