Following Almgren’s construction of the center manifold in his Big regularity paper, we show the C^{3,α} regularity of area-minimizing currents in the neighborhood of points of density one without using the nonparametric theory. This study is intended as a first step towards the understanding of Almgren’s construction in its full generality.
Center manifold: a case study
Camillo De Lellis;
2011-01-01
Abstract
Following Almgren’s construction of the center manifold in his Big regularity paper, we show the C^{3,α} regularity of area-minimizing currents in the neighborhood of points of density one without using the nonparametric theory. This study is intended as a first step towards the understanding of Almgren’s construction in its full generality.File in questo prodotto:
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