Loose Engel structures

DOI10.1112/S0010437X19007759zbMath1437.58005arXiv1712.09283OpenAlexW3105818335WikidataQ126406268 ScholiaQ126406268MaRDI QIDQ5212330

Francisco Presas, Álvaro del Pino, Roger Casals

Publication date: 28 January 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09283

zbMATH Keywords

flexibility\(h\)-principleEngel structures

Mathematics Subject Classification ID

Pfaffian systems (58A17) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (6)

Analytic torsion of generic rank two distributions in dimension five ⋮ Universality of Euler flows and flexibility of Reeb embeddings ⋮ An h$h$‐principle for embeddings transverse to a contact structure ⋮ Non-isotopic transverse tori in Engel manifolds ⋮ The Engel-Lutz twist and overtwisted Engel structures ⋮ A remark on the contactomorphism group of overtwisted contact spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and classification of overtwisted contact structures in all dimensions
• Foliated vector fields without periodic orbits
• Generic distributions and Lie algebras of vector fields
• Contact 3-manifolds twenty years since J. Martinet's work
• The theory of foliations of codimension greater than one
• Existence of codimension-one foliations
• Rigidity of integral curves of rank 2 distributions
• Leafwise symplectic structures on Lawson's foliation
• Existence \(h\)-principle for Engel structures
• Notes on open book decompositions for Engel structures
• Non-loose unknots, overtwisted discs, and the contact mapping class group of \(S^3\)
• Classification of Engel knots
• Classification of overtwisted contact structures on 3-manifolds
• Engel structures and weakly hyperbolic flows on four-manifolds
• The Engel-Lutz twist and overtwisted Engel structures
• 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
• Points and curves in the Monster tower
• Partial Differential Relations
• On the classification of prolongations up to Engel homotopy
• Geometric criteria for overtwistedness
• Riemannian Properties of Engel Structures
• An Introduction to Contact Topology

This page was built for publication: Loose Engel structures