Calculus of Variations and Geometric Measure Theory

Bi-Lipschitz regularity of 2-varifolds with the critical Allard condition

Jie Zhou

created by scharrer on 22 Feb 2023

15 mar 2023 -- 09:00   [open in google calendar]

Agenda: Get-together (30 min), presentation Jie Zhou (60 min), questions and discussions (30 min).

Abstract.

For an integral 2-varifold in the unit ball of the Euclidean space passing through the origin, if it satisfies the critical Allard condition, i.e., the mass of the varifold in the unit ball is close to the area of a flat unit disk and the L2 norm of the generalized mean curvature is small enough, we show that locally the support of the varifold admits a bi-Lipschitz parameterization from the unit disk. The presentation is based on a joint work with Dr. Yuchen Bi.