Engel structures with trivial characteristic foliations

Mathematics – Symplectic Geometry

Scientific paper

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Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-11.abs.html

Scientific paper

Engel structures on M x S^1 and M x I are studied in this paper, where M is a
3-dimensional manifold. We suppose that these structures have characteristic
line fields parallel to the fibres, S^1 or I. It is proved that they are
characterized by contact structures on the cross section M, the twisting
numbers, and Legendrian foliations on both ends M x dI in the case of M x I.

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