Isotopy Classification of Engel Structures on Circle Bundles
Symplectic Geometry
2012-09-07 v1 Differential Geometry
Geometric Topology
Abstract
We call two Engel structures isotopic if they are homotopic through Engel structures by a homotopy that fixes the characteristic line field. In the present paper we define an isotopy invariant of Engel structures on oriented circle bundles over closed oriented three-manifolds and apply it to give an isotopy classification of Engel structures on circle bundles with characteristic line field tangent to the fibers.
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Cite
@article{arxiv.1209.1368,
title = {Isotopy Classification of Engel Structures on Circle Bundles},
author = {Mirko Klukas and Bijan Sahamie},
journal= {arXiv preprint arXiv:1209.1368},
year = {2012}
}
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13 pages