No periodic geodesics in jet space

DOI10.2140/PJM.2023.322.11zbMath1512.35600arXiv2203.16178MaRDI QIDQ6043339

Alejandro Bravo-Doddoli

Publication date: 5 May 2023

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

Full work available at URL: https://arxiv.org/abs/2203.16178

zbMATH Keywords

sub-Riemannian geometryintegrable systemjet spaceCarnot groupHamilton-JacobiGoursat distributionperiodic geodesics

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Jets in global analysis (58A20) Sub-Riemannian geometry (53C17) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Hamiltonian and Lagrangian mechanics (70Hxx)

Related Items (1)

Jet spaces over Carnot groups

Cites Work

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• Rigidity of integral curves of rank 2 distributions
• Higher elastica: geodesics in jet space
• Geodesics in jet space
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Geometric approach to Goursat flags

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