PreprintCC BY 4.0arXiv
A sub-Riemannian endpoint map with no regular values
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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BibTeX
@misc{lerario2026subriemannian,
title = {{A sub-Riemannian endpoint map with no regular values}},
author = {Antonio Lerario and Luca Rizzi and Daniele Tiberio},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05991},
eprint = {2609.05991},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05991},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A sub-Riemannian endpoint map with no regular values
AU - Antonio Lerario
AU - Luca Rizzi
AU - Daniele Tiberio
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.05991
UR - https://arxiv.org/abs/2609.05991
AB - 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.
ER -