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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The geometry of symplectic pairs


Authors: G. Bande and D. Kotschick
Journal: Trans. Amer. Math. Soc. 358 (2006), 1643-1655
MSC (2000): Primary 53C15, 57R17, 57R30; Secondary 53C12, 53D35, 58A17
Published electronically: June 21, 2005
MathSciNet review: 2186990
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Abstract: We study the geometry of manifolds carrying symplectic pairs consisting of two closed $2$-forms of constant ranks, whose kernel foliations are complementary. Using a variation of the construction of Boothby and Wang we build contact-symplectic and contact pairs from symplectic pairs.


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Additional Information

G. Bande
Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Cagliari, Via Ospedale 72, 09129 Cagliari, Italy
Email: gbande@unica.it

D. Kotschick
Affiliation: Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany
Email: dieter@member.ams.org

DOI: http://dx.doi.org/10.1090/S0002-9947-05-03808-0
PII: S 0002-9947(05)03808-0
Received by editor(s): May 28, 2004
Published electronically: June 21, 2005
Additional Notes: The authors are members of the European Differential Geometry Endeavour (EDGE), Research Training Network HPRN-CT-2000-00101, supported by The European Human Potential Programme
Article copyright: © Copyright 2005 American Mathematical Society