Classification of Horizontal Loops in the Standard Engel space

DOI10.1093/imrn/rnm008zbMath1144.53037OpenAlexW2026470900MaRDI QIDQ5428101

Jiro Adachi

Publication date: 28 November 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnm008

zbMATH Keywords

rotation numberEngel horizontal loops

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Exterior differential systems (Cartan theory) (58A15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

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, Horizontal loops in Engel space, Classification of Engel knots