Existence \(h\)-principle for Engel structures

DOI10.1007/s00222-017-0732-6zbMath1383.53062arXiv1507.05342OpenAlexW2220768366MaRDI QIDQ1677223

José Luis Pérez, Roger Casals, Álvaro del Pino, Francisco Presas

Publication date: 10 November 2017

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05342

zbMATH Keywords

distributioncontact structure4-manifoldEngel structure\(h\)-principleeven-contact structure

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Pfaffian systems (58A17) Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Analytic torsion of generic rank two distributions in dimension five ⋮ Engel structures on complex surfaces ⋮ Results on the homotopy type of the spaces of locally convex curves on $\mathbb{S}^3$ ⋮ On the classification of prolongations up to Engel homotopy ⋮ On the space of null geodesics of a spacetime: the compact case, Engel geometry and retrievability ⋮ Non-isotopic transverse tori in Engel manifolds ⋮ Exotic holomorphic Engel structures on \(\mathbf {C}^4\) ⋮ Notes on open book decompositions for Engel structures ⋮ The Engel-Lutz twist and overtwisted Engel structures ⋮ Flexibility for tangent and transverse immersions in Engel manifolds ⋮ Classification of Engel knots ⋮ Loose Engel structures ⋮ The Legendrian Whitney trick

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