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Regularity of higher codimension area minimizing integral currents

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Geometric Measure Theory and Real Analysis

Part of the book series: Publications of the Scuola Normale Superiore ((CRMSNS,volume 17))

Abstract

This lecture notes are an expanded and revised version of the course Regularity of higher codimension area minimizing integral currents that I taught at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013.

The lectures aim to explain partially without proofs the main steps of a new proof of the partial regularity of area minimizing integer rectifiable currents in higher codimension, due originally to F. Almgren, which is contained in a series of papers in collaboration with C. De Lellis (University of Zürich).

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Authors
  1. Emanuele Spadaro
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Luigi Ambrosio

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Spadaro, E. (2014). Regularity of higher codimension area minimizing integral currents. In: Ambrosio, L. (eds) Geometric Measure Theory and Real Analysis. Publications of the Scuola Normale Superiore, vol 17. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-523-3_3

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