Escape from compact sets of normal curves in subFinsler Carnot groups

DOI10.1051/COCV/2024067MaRDI QIDQ6634369

Nicola Paddeu, Enrico Le Donne

Publication date: 7 November 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

Carnot groupsnormal curvesperiodic geodesics

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Cites Work

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• Rigidity of integral curves of rank 2 distributions
• A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
• Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces
• A tour of subriemannian geometries, their geodesics and applications
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Infinite Geodesics and Isometric Embeddings in Carnot Groups of Step 2
• A metric characterization of Carnot groups
• No periodic geodesics in jet space

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