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arXiv · 1610.04001

Engel structures and weakly hyperbolic flows on four-manifolds

D. Kotschick·T. Vogel
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Abstract

We study pairs of Engel structures on four-manifolds whose intersection has constant rank one and which define the same even contact structure, but induce different orientations on it. We establish a correspondence between such pairs of Engel structures and a class of weakly hyperbolic flows. This correspondence is analogous to the correspondence between bi-contact structures and projectively or conformally Anosov flows on three-manifolds found by Eliashberg--Thurston and by Mitsumatsu.

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BibTeXRIS

D. Kotschick, T. Vogel. 2016-10-13. Engel structures and weakly hyperbolic flows on four-manifolds. https://doi.org/10.4171/cmh%2F441

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