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Odd dimensional tori are contact manifolds.

Authors :
Bourgeois, Frédéric
Source :
IMRN: International Mathematics Research Notices. 2002, Vol. 2002 Issue 30, p1571-1574. 4p.
Publication Year :
2002

Abstract

We show that, for every contact manifold M and for every Riemann surface Σ of genus at least 1, the manifold Σ × M admits a contact structure. In particular, the tori T2n+1 are contact manifolds. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10737928
Volume :
2002
Issue :
30
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
80060656
Full Text :
https://doi.org/10.1155/S1073792802205048