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Contact structures on 1-connected 5-manifolds

Part of: Global differential geometry

Published online by Cambridge University Press:  26 February 2010

Hansjörg Geiges
Hansjörg Geiges
Affiliation:
Peterhouse, Cambridge, CB2 1RD
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Extract

All manifolds in this paper are assumed to be closed, oriented and smooth.

A contact structure on a (2n + l)-dimensional manifold M is a maximally non-integrable hyperplane distribution D in the tangent bundle TM, i.e., D is locally denned as the kernel of a 1-form α satisfying α ۸ (da)n ۸ 0. A global form satisfying this condition is called a contact form. In the situations we are dealing with, every contact structure will be given by a contact form (see [5]). A manifold admitting a contact structure is called a contact manifold.

MSC classification

Secondary: 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces

Information

Type
Research Article
Information
Mathematika , Volume 38 , Issue 2 , December 1991 , pp. 303 - 311
Copyright
Copyright © University College London 1991

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