Short Geodesics Losing Optimality in Contact Sub-Riemannian Manifolds and Stability of the 5-Dimensional Caustic

DOI10.1137/18M1234710;zbMath1423.53034arXiv1812.11340MaRDI QIDQ5232227

Ludovic Sacchelli

Publication date: 30 August 2019

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11340

zbMATH Keywords

sub-Riemannian geometryLagrangian singularitiesconjugate locuscontact distributions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Contact manifolds (general theory) (53D10) Critical points of functions and mappings on manifolds (58K05) Sub-Riemannian geometry (53C17) Classification; finite determinacy of map germs (58K40)

Related Items (3)

Local \(L^1\) sub-Finsler geometry in dimension 3: non-generic cases ⋮ Short Geodesics Losing Optimality in Contact Sub-Riemannian Manifolds and Stability of the 5-Dimensional Caustic ⋮ Generic singularities of the 3D-contact sub-Riemannian conjugate locus

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