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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:
We study the geometry of manifolds carrying symplectic pairs consisting of two closed -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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