Calculus of Variations and Geometric Measure Theory

A. Lerario - L. Rizzi - D. Tiberio

A sub-Riemannian endpoint map with no regular values

created by rizzi1 on 09 Sep 2026

[BibTeX]

preprint

Inserted: 9 sep 2026

Year: 2026

ArXiv: 2609.05991 PDF

Abstract:

We construct an endpoint map with no regular values, disproving the sub-Riemannian Sard conjecture. Remarkably, in our construction the minimizing Sard property remains valid.