Currents and Flat Chains Associated to Varifolds, with an Application to Mean Curvature Flow
Differential Geometry
2019-12-19 v2
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.
Cite
@article{arxiv.0805.2003,
title = {Currents and Flat Chains Associated to Varifolds, with an Application to Mean Curvature Flow},
author = {Brian White},
journal= {arXiv preprint arXiv:0805.2003},
year = {2019}
}
Comments
16 pages. Revised to correct one typo (in equation (12))