Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3

DOI10.1007/s00222-022-01111-2OpenAlexW2894806444WikidataQ115388466 ScholiaQ115388466MaRDI QIDQ2144536

Ludovic Rifford, A. Belotto da Silva, Adam Parusiński, Alessio Figalli

Publication date: 14 June 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03347

zbMATH Keywords

resolution of singularitiessingular controlsub-Riemannian distanceMartinet surfaceSard conjecturecharacteristic line foliationend-point mapping

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Complex singularities (32S99) Sub-Riemannian geometry (53C17)

Related Items

Ilyashenko algebras based on transserial asymptotic expansions ⋮ A dynamical approach to the Sard problem in Carnot groups ⋮ Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry ⋮ Derivatives of Sub-Riemannian Geodesics are L_p-Hölder Continuous ⋮ Infinite Geodesics and Isometric Embeddings in Carnot Groups of Step 2

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