Work

A sub-Riemannian endpoint map with no regular values

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.05991

Authors: Lerario, Antonio, Rizzi, Luca, Tiberio, Daniele

Institutions: Scuola Internazionale Superiore di Studi Avanzati, University of Padua

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Università degli Studi di Padova, Centre National de la Recherche Scientifique, Institut national des sciences mathématiques et de leurs interactions

Award: G3359093770

OpenAlex ID: W7212061285

Cites: 3

Cited by: 1

Related to: 10