Contact fiber bundles

Eugene Lerman

doi:10.1016/S0393-0440(03)00060-3

Contact fiber bundles

Eugene Lerman

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki's fiber join construction and a cross-section theorem for contact moment maps.

Original language	English (US)
Pages (from-to)	52-66
Number of pages	15
Journal	Journal of Geometry and Physics
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/S0393-0440(03)00060-3
State	Published - Jan 2004

Keywords

Contact
Fiber bundle
K-contact
Minimal coupling

ASJC Scopus subject areas

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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10.1016/S0393-0440(03)00060-3

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title = "Contact fiber bundles",

abstract = "We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki's fiber join construction and a cross-section theorem for contact moment maps.",

keywords = "Contact, Fiber bundle, K-contact, Minimal coupling",

author = "Eugene Lerman",

note = "Funding Information: The work in this paper was partially supported by the Swiss NSF at the University of Geneva in May 2002. I am grateful to the University for its hospitality. Supported by in part by the Swiss NSF, US NSF grant DMS-0204448 and by R. Kantorovitz.",

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AU - Lerman, Eugene

N1 - Funding Information: The work in this paper was partially supported by the Swiss NSF at the University of Geneva in May 2002. I am grateful to the University for its hospitality. Supported by in part by the Swiss NSF, US NSF grant DMS-0204448 and by R. Kantorovitz.

PY - 2004/1

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N2 - We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki's fiber join construction and a cross-section theorem for contact moment maps.

AB - We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki's fiber join construction and a cross-section theorem for contact moment maps.

KW - Contact

KW - Fiber bundle

KW - K-contact

KW - Minimal coupling

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EP - 66

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 1

ER -

Contact fiber bundles

Abstract

Keywords

ASJC Scopus subject areas

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