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Contact Structures and Geometric Topology

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Global Differential Geometry

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 17))

Abstract

A contact structureon a manifold M of dimension 2n+1 is a tangent hyperplane field, i.e. a 2n-dimensional sub-bundle ξ of the tangent bundle TM, satisfying the following maximal non-integrabilitycondition:

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Acknowledgements

Some parts of the research described in this survey were supported by DFG grant GE 1245/1 within the framework of the Schwerpunktprogramm 1154 “Globale Differentialgeometrie”.

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Authors and Affiliations

  1. Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931, Köln, Germany

    Hansjörg Geiges

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  1. Hansjörg Geiges
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Correspondence to Hansjörg Geiges .

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Editors and Affiliations

  1. Inst. Mathematik, Universität Potsdam, Potsdam, Brandenburg, Germany

    Christian Bär

  2. , Mathematisches Institut, Universität Münster, Einsteinstraße 62, Münster, 48149, Germany

    Joachim Lohkamp

  3. , Fakultät für Mathematik und Informatik, Universität Leipzig, Johannisgasse 26, Leipzig, 04103, Sachsen, Germany

    Matthias Schwarz

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Geiges, H. (2012). Contact Structures and Geometric Topology. In: Bär, C., Lohkamp, J., Schwarz, M. (eds) Global Differential Geometry. Springer Proceedings in Mathematics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22842-1_15

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