Dancing polygons, rolling balls, and the Cartan-Engel distribution

arXiv2304.07694MaRDI QIDQ6179157

Gil Bor, Luis Hernández-Lamoneda

Publication date: 5 September 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.07694

zbMATH Keywords

simple group \(G_2\)(2, 3, 5)-distributionprojective polygon pairsrolling distribution

Mathematics Subject Classification ID

Projective differential geometry (53A20) Differential invariants (local theory), geometric objects (53A55) Vector distributions (subbundles of the tangent bundles) (58A30) Other special differential geometries (53A40)

Cites Work

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• Rigidity of integral curves of rank 2 distributions
• \(G_2\) and the rolling distribution
• Rolling balls and octonions
• Twistor space for rolling bodies
• 𝐺₂ and the rolling ball
• The dancing metric, ${G}_2$-symmetry and projective rolling

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