Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Ding, Fan UNSPECIFIED UNSPECIFIED UNSPECIFIED Geiges, Hansjoerg UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language MANIFOLDS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47767