Can I read Uniqueness of Tangent Cones for $2$-Dimensional Almost Minimizing Currents on EtoBox?

Uniqueness of Tangent Cones for $2$-Dimensional Almost Minimizing Currents by De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca is a scholarly article available to read on EtoBox.

What is Uniqueness of Tangent Cones for $2$-Dimensional Almost Minimizing Currents about?

We consider $2$-dimensional integer rectifiable currents which are almost area minimizing and show that their tangent cones are everywhere unique. Our argument unifies a few uniqueness theorems of the same flavor, which are all obtained by a suitable modification of White's original theorem for area minimizing currents in the euclidean space. This note is also the first step in a regularity program for semicalibrated $2$-dimensional currents and spherical cross sections of $3$-dimensional area minimizing cones.

Author

De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca

Published

2015

Language

EN