Ding, Fan and Geiges, Hansjoerg (2012). Contact structures on principal circle bundles. Bull. London Math. Soc., 44. S. 1189 - 1203. OXFORD: OXFORD UNIV PRESS. ISSN 0024-6093
Full text not available from this repository.Abstract
We describe a necessary and sufficient condition for a principal circle bundle over an even-dimensional manifold to carry an invariant contact structure. As a corollary, it is shown that if the trivial circle bundle over a given base manifold carries an invariant contact structure, then so do all circle bundles over that base. In particular, all circle bundles over 4-manifolds admit invariant contact structures. We also discuss the Bourgeois construction of contact structures on odd-dimensional tori in this context, and we relate our results to recent work of Massot, Niederkruger and Wendl on weak symplectic fillings in higher dimensions.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-477678 | ||||||||||||
DOI: | 10.1112/blms/bds042 | ||||||||||||
Journal or Publication Title: | Bull. London Math. Soc. | ||||||||||||
Volume: | 44 | ||||||||||||
Page Range: | S. 1189 - 1203 | ||||||||||||
Date: | 2012 | ||||||||||||
Publisher: | OXFORD UNIV PRESS | ||||||||||||
Place of Publication: | OXFORD | ||||||||||||
ISSN: | 0024-6093 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/47767 |
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