Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 2, Number 1 (2002), 239-255.
Engel structures with trivial characteristic foliations
Engel structures on and are studied in this paper, where is a –dimensional manifold. We suppose that these structures have characteristic line fields parallel to the fibres, or . It is proved that they are characterized by contact structures on the cross section , the twisting numbers, and Legendrian foliations on both ends in the case of .
Algebr. Geom. Topol., Volume 2, Number 1 (2002), 239-255.
Received: 12 March 2002
Accepted: 22 March 2002
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R25: Vector fields, frame fields
Secondary: 58A17: Pfaffian systems 58A30: Vector distributions (subbundles of the tangent bundles) 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
Adachi, Jiro. Engel structures with trivial characteristic foliations. Algebr. Geom. Topol. 2 (2002), no. 1, 239--255. doi:10.2140/agt.2002.2.239. https://projecteuclid.org/euclid.agt/1513882691