Geometry-Analysis Seminar: The Plateau Problem for the $c$-Isoperimetric Mass of Currents
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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.
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