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arXiv · 1209.1368

Isotopy Classification of Engel Structures on Circle Bundles

Mirko Klukas·Bijan Sahamie
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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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Mirko Klukas, Bijan Sahamie. 2012-09-06. Isotopy Classification of Engel Structures on Circle Bundles. https://arxiv.org/abs/1209.1368

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