A generalization of Reifenberg's theorem in $R^3$

Tatiana Toro
University of Washington

Two dimensional minimal cones were fully classified by Jean Taylor in the mid 70's. In joint work with G. David and T. De Pauw we prove that a closed set which is close to a minimal cone at all scales and at all locations is locally a bi-H\"older image of a minimal cone. This result is analogous to Reifenberg's disk theorem.

Presentation (PDF File)

Back to MGA Workshop V: Math Analysis and Multiscale Geometric Analysis