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Transactions of the American Mathematical Society
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The geometry of symplectic pairs

Author(s): G. Bande; D. Kotschick
Journal: Trans. Amer. Math. Soc. 358 (2006), 1643-1655.
MSC (2000): Primary 53C15, 57R17, 57R30; Secondary 53C12, 53D35, 58A17
Posted: June 21, 2005
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Abstract | References | Similar articles | Additional information

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: 10.1090/S0002-9947-05-03808-0
PII: S 0002-9947(05)03808-0
Received by editor(s): May 28, 2004
Posted: June 21, 2005
Additional Notes: The authors are members of the \textit{European Differential Geometry Endeavour} (EDGE), Research Training Network HPRN-CT-2000-00101, supported by The European Human Potential Programme
Copyright of article: Copyright 2005, American Mathematical Society


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