Geodesic
Engel structures with trivial characteristic foliations
Adachi, Jiro1
1Department of Mathematics, Osaka University, Toyonaka, Osaka 560-0043, Japan
Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 239-255
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Engel structures on M × S1 and M × 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, S1 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 × ∂I in the case of M × I.

DOI : 10.2140/agt.2002.2.239
Keywords: Engel structure, prolongation, Legendrian foliation

Adachi, Jiro  1

1 Department of Mathematics, Osaka University, Toyonaka, Osaka 560-0043, Japan 
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Adachi, Jiro. Engel structures with trivial characteristic foliations. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 239-255. doi: 10.2140/agt.2002.2.239

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