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Horizontal path spaces and Carnot-Carathéodory metrics

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Publication:1318490
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DOI10.2140/pjm.1993.161.255zbMath0797.49033OpenAlexW1992379972MaRDI QIDQ1318490

Zhong Ge

Publication date: 27 April 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.161.255


zbMATH Keywords

Carnot-Carathéodory metricsCarno-Carathéodory manifoldfat nilpotent groups


Mathematics Subject Classification ID

Inverse problems in optimal control (49N45)


Related Items (11)

Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity ⋮ Landmarks for Neurogeometry ⋮ Horizontal holonomy and foliated manifolds ⋮ Existence of horizontal immersions in fat distributions ⋮ Asymptotics of accessibility sets along an abnormal trajectory ⋮ A survey of singular curves in sub-Riemannian geometry ⋮ Exponential mappings for contact sub-Riemannian structures ⋮ Semiconcavity results for optimal control problems admitting no singular minimizing controls ⋮ On the subanalyticity of Carnot-Carathéodory distances ⋮ A continuation method for motion-planning problems ⋮ Geodesics and horizontal-path spaces in Carnot groups




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