The Sard conjecture on Martinet surfaces

DOI10.1215/00127094-2017-0058zbMath1396.53055arXiv1608.04122OpenAlexW2507124000WikidataQ123194128 ScholiaQ123194128MaRDI QIDQ1645023

Ludovic Rifford, André Belotto da Silva

Publication date: 28 June 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04122

zbMATH Keywords

resolution of singularitiessub-Riemannian geometrynonholonomic distributionMartinet surfaceSard conjecture

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Control problems involving ordinary differential equations (34H05) Classical differential geometry (53A99) Sub-Riemannian geometry (53C17)

Related Items (9)

Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3 ⋮ The Sard problem in step 2 and in filiform Carnot groups, ⋮ Bakry-Émery curvature and model spaces in sub-Riemannian geometry ⋮ A dynamical approach to the Sard problem in Carnot groups ⋮ Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry ⋮ Mass transportation on sub-Riemannian structures of rank two in dimension four ⋮ Third order open mapping theorems and applications to the end-point map ⋮ Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups ⋮ On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

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