Houston, TX 77005
4:00 p.m. Wednesday, Jan. 23, 2013
On Campus | Alumni
We introduce a new notion of mass for currents, generalized orientable immersions of Euclidean space, similar to the flat norm although with a scaling property. Through this mass, which we call the $c$-isoperimetric mass, we ask the analogous Plateau problem: this is classically, find a surface of least area spanning a given boundary curve in space. Questions of existence and regularity are studied and proposed.