Calculus of Variations and Geometric Measure Theory
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F. Boarotto - D. Vittone

A dynamical approach to the Sard problem in Carnot groups

created by vittone on 30 Aug 2019

[BibTeX]

preprint

Inserted: 30 aug 2019

Year: 2019

ArXiv: 1908.11120 PDF

Abstract:

We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajectories of suitable dynamical systems. As an applications, we positively answer the Sard problem in some classes of Carnot groups.

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