The Agrachev-Barilari-Boscain method and estimates for the number of segments of horizontal broken lines joining points in the canonical Carnot group \(G_{3,3}\)

DOI10.1134/s0081543823020074OpenAlexW4386702474MaRDI QIDQ6072975

Aleksandr Valer'evich Greshnov

Publication date: 15 September 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543823020074

zbMATH Keywords

canonical Carnot groupRashevskii-Chow theoremhorizontal broken line

Mathematics Subject Classification ID

Computer science (68-XX) Differential geometry (53-XX)

Related Items

Horizontal joinability on 5-dimensional 2-step Carnot groups with a codimension 2 horizontal distribution

Cites Work

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• Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
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• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Hypoelliptic differential operators and nilpotent groups
• Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group
• Optimal horizontal joinability on the Engel group
• Hypoelliptic second order differential equations
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A Comprehensive Introduction to Sub-Riemannian Geometry

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