Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity

DOI10.1051/cocv:1999114zbMath0978.53065OpenAlexW2117793959WikidataQ115334502 ScholiaQ115334502MaRDI QIDQ4256522

A. V. Sarychev, Andrei A. Agrachev

Publication date: 18 July 1999

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197295

zbMATH Keywords

sub-Riemannian metricssubanalyticCarnot-Carathéodory metricsabnormal geodesicsabnormal length minimizernoninvolutive distributions

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Sub-Riemannian geometry (53C17)

Related Items

Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry, The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry, Regularity properties of spheres in homogeneous groups, Global subanalytic solutions of Hamilton--Jacobi type equations, On the subanalyticity of Carnot-Carathéodory distances, Mass transportation on sub-Riemannian manifolds, Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups, Length spectra of sub-Riemannian metrics on compact Lie groups, On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures, On the stabilization problem for nonholonomic distributions, Optimal curves for an affine distribution, Sub-Riemannian Engel sphere

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