Classification of Engel knots

DOI10.1007/s00208-017-1625-0zbMath1411.53067arXiv1710.11034OpenAlexW2964011142WikidataQ125898010 ScholiaQ125898010MaRDI QIDQ1751029

Álvaro del Pino, Roger Casals

Publication date: 23 May 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11034

zbMATH Keywords

Engel structurescanning mapEngel knotformal Engel knot

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15)

Related Items (6)

Fundamental groups of formal Legendrian and horizontal embedding spaces ⋮ Existence of horizontal immersions in fat distributions ⋮ Non-isotopic transverse tori in Engel manifolds ⋮ Flexibility for tangent and transverse immersions in Engel manifolds ⋮ Loose Engel structures ⋮ The Legendrian Whitney trick

Cites Work

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• Differential algebra of Legendrian links
• Existence \(h\)-principle for Engel structures
• The Engel-Lutz twist and overtwisted Engel structures
• Existence of Engel structures
• Fundamental groups of formal Legendrian and horizontal embedding spaces
• Wrinkled Embeddings
• Partial Differential Relations
• An Introduction to Contact Topology
• Classification of Horizontal Loops in the Standard Engel space

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