\(k\)-step sub-Riemannian manifold whose sub-Riemannian metric admits a canonical extension to a Riemannian metric

DOI10.1007/s10883-010-9105-9zbMath1203.53026OpenAlexW2008030028WikidataQ115383708 ScholiaQ115383708MaRDI QIDQ619295

Marcos M. Diniz, Jose Miguel Martins Veloso

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-010-9105-9

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (3)

Non-holonomic equations for the normal extremals in geometric control theory ⋮ Constant curvature models in sub-Riemannian geometry ⋮ Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry

Cites Work

• Regions where the exponential map at regular points of sub-Riemannian manifolds is a local diffeomorphism
• Sub-Riemannian geometry
• Some regularity theorems for Carnot-Caratheodory metrics
• On fat sub-Riemannian symmetric spaces in codimension three
• On contact sub-riemannian symmetric spaces
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