Quadratic sufficient conditions for the minimality for abnormal sub-Riemannian geodesics

zbMATH Open0988.49011MaRDI QIDQ2777854

Andrei Dmitruk

Publication date: 13 March 2002

zbMATH Keywords

sub-Riemannian metricsabnormal sub-Riemannian geodesicsquadratic sufficient conditions of minimalitysufficient conditions of rigidity

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17) Applications of variational problems to control theory (58E25)

Related Items (3)

Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity ⋮ Strong minimality of abnormal geodesics for \(2\)-distributions ⋮ Title not available (Why is that?)

Recommendations

• Title not available (Why is that?) 👍 👎
• On the role of abnormal minimizers in sub-Riemannian geometry 👍 👎
• Quadratic sufficient conditions for strong minimality of abnormal sub-Riemannian geodesics. 👍 👎
• Erratum: ``Quadratic sufficient conditions for strong minimality of abnormal sub-Riemannian geodesics. 👍 👎
• Existence of abnormal minimizing geodesics in sub-Riemannian geometry 👍 👎
• Strong minimality of abnormal geodesics for \(2\)-distributions 👍 👎
• Certain variations of geometric conditions for quasiconformality 👍 👎
• The Quasi Curvature‐Dimension Condition with Applications to Sub‐Riemannian Manifolds 👍 👎
• Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity 👍 👎
• Quadratic sufficient minimality conditions for abnormal sub-Riemannian geodesics 👍 👎

This page was built for publication: Quadratic sufficient conditions for the minimality for abnormal sub-Riemannian geodesics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2777854)