On the classification of prolongations up to Engel homotopy

DOI10.1090/proc/13751zbMath1381.53153arXiv1708.00295OpenAlexW2964005155MaRDI QIDQ4596015

Álvaro del Pino

Publication date: 8 December 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00295

zbMATH Keywords

Cartan prolongationEngel structure\(h\)-principleLorentzian prolongation

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (3)

On the space of null geodesics of a spacetime: the compact case, Engel geometry and retrievability ⋮ The Engel-Lutz twist and overtwisted Engel structures ⋮ Loose Engel structures

Cites Work

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• Applications of convex integration to symplectic and contact geometry
• Existence \(h\)-principle for Engel structures
• Classification of overtwisted contact structures on 3-manifolds
• The homotopy type of spaces of locally convex curves in the sphere
• Existence of Engel structures
• Nondegenerate homotopies of curves on the unit 2-sphere
• On prolongations of contact manifolds
• TOPOLOGY OF THE SPACE OF NONDEGENERATE CURVES

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