Rigid paths of generic 2-distributions on 3-manifolds

DOI10.1215/S0012-7094-95-07907-1zbMath0867.57022OpenAlexW2128893244MaRDI QIDQ1902026

Igor Zelenko, Michail Zhitomirskii

Publication date: 20 July 1997

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07907-1

zbMATH Keywords

manifolddistributionabnormal pathsrigid paths

Mathematics Subject Classification ID

Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items

On the role of abnormal minimizers in sub-Riemannian geometry, Singular multicontact structures, 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,, The Sard conjecture on Martinet surfaces, Extremal curves in nilpotent Lie groups, A dynamical approach to the Sard problem in Carnot groups, On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures, On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

Cites Work

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• Rigidity of integral curves of rank 2 distributions
• A survey of singular curves in sub-Riemannian geometry
• Rigid and abnormal line subdistributions of \(2\)-distributions
• Strong minimality of abnormal geodesics for \(2\)-distributions
• Sur les singularités des formes différentielles
• Abnormal Minimizers
• Shortest paths for sub-Riemannian metrics on rank-two distributions