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arXiv · 2609.05991

A sub-Riemannian endpoint map with no regular values

Antonio Lerario·Luca Rizzi·Daniele Tiberio
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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.

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Antonio Lerario, Luca Rizzi, Daniele Tiberio. 2026-09-05. A sub-Riemannian endpoint map with no regular values. https://arxiv.org/abs/2609.05991

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