Calculus of Variations and Geometric Measure Theory
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V. Magnani - A. Zapadinskaya

A Gromov's dimension comparison estimate for rectifiable sets

created by magnani on 23 Jul 2015
modified on 27 Jul 2015

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Submitted Paper

Inserted: 23 jul 2015
Last Updated: 27 jul 2015

Year: 2015

Abstract:

We extend the validity of a Gromov’s dimension comparison estimate for topological hypersurfaces to sufficiently large classes of rectifiable sets, arising from Sobolev mappings. Our tools are a suitably weak exterior differentiation for pullback differential forms and a new low rank property for Sobolev mappings.

Tags: GeMeThNES


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