Geometric Measure Theory and Real Analysis

  • Editors
  • LuigiĀ Ambrosio

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Vladimir I. Bogachev
    Pages 1-56
  3. Back Matter
    Pages 227-228

About these proceedings


In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G. Alberti, C. De Lellis and myself, took place at the Centro De Giorgi in Pisa, with lectures by V. Bogachev, R. Monti, E. Spadaro and D. Vittone.

The book collects the notes of the courses. The courses provide a deep and up to date insight on challenging mathematical problems and their recent developments: infinite-dimensional analysis, minimal surfaces and isoperimetric problems in the Heisenberg group, regularity of sub-Riemannian geodesics and the regularity theory of minimal currents in any dimension and codimension.


Heisenberg group Sobolev classes regularity problem

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