Extremals in some classes of Carnot groups

DOI10.1007/s11425-011-4286-6zbMath1276.53040OpenAlexW2263100806MaRDI QIDQ424295

Ti-Ren Huang, Xiao-Ping Yang

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4286-6

zbMATH Keywords

minimizerCarnot groupextremal

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17)

Related Items (2)

Pliability, or the Whitney extension theorem for curves in Carnot groups ⋮ Some properties of abnormal extremals on Lie groups

Cites Work

• Unnamed Item
• On Carnot-Caratheodory metrics
• Sub-Riemannian geometry
• Some regularity theorems for Carnot-Caratheodory metrics
• Rigidity of integral curves of rank 2 distributions
• Geometry of balls in nilpotent Lie groups
• Singular extremals on Lie groups
• A note on Carnot geodesics in nilpotent Lie groups
• Abnormal Minimizers
• Variational aspects of the geodesics problem in sub-Riemannian geometry

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