Sub-Riemannian Cartan sphere

DOI10.1134/S1064562422700028OpenAlexW4311904975MaRDI QIDQ2696690

Yuri L. Sachkov

Publication date: 17 April 2023

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422700028

zbMATH Keywords

sub-Riemannian geometryCartan groupsub-Riemannian sphere

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Cites Work

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• Verdier and strict Thom stratifications in o-minimal structures
• The elementary theory of restricted analytic fields with exponentiation
• Control theory from the geometric viewpoint.
• Conjugate time in the sub-Riemannian problem on the Cartan group
• Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
• Complete description of the Maxwell strata in the generalized Dido problem
• Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater
• Exponential map in the generalized Dido problem
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Cut time in the sub-Riemannian problem on the Cartan group

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