Currents and flat chains associated to varifolds, with an application to mean curvature flow
By B. White. 2008
74 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology, Radiology, Nuclear Medicine and Imaging
View Paper: https://www.semanticscholar.org/paper/8d532d58d9304907b0f9d763e404e63acebb1cef
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In Applied Mathematics
In Geometry and Topology
In Radiology, Nuclear Medicine and Imaging
Citations in the corpus
- Mean Curvature Flow in Higher Codimension: Introduction and Survey (2011, background): “Wang used the graphical condition in [Wan01b] to obtain long-time existence without a sign condition on S by methods related to White’s regularity theorem and then proved convergence of subsequences to minimal Lagrangian surfaces.”
- Morse index of multiplicity one min-max minimal hypersurfaces (2015, unknown): “4 of White [60].”