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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2019, Vol. 14 Issue (4) : 781-791    https://doi.org/10.1007/s11464-019-0778-4
RESEARCH ARTICLE
Contact-pair neighborhood theorem for submanifolds in symplectic pairs
Hai-Long HER()
Department of Mathematics, Jinan University, Guangzhou 510632, China
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Abstract

Let M be a 2n-dimensional smooth manifold associated with the structure of symplectic pair which is a pair of closed 2-forms of constant ranks with complementary kernel foliations. Let QMbe a codimension 2 compact submanifold. We show some sufficient and necessary conditions on the existence of the structure of contact pair (α,β) on Q,which is a pair of 1-forms of constant classes whose characteristic foliations are transverse and complementary such that α and β restrict to contact forms on the leaves of the characteristic foliations of βand α,respectively. This is a generalization of the neighborhood theorem for contact-type hypersurfaces in symplectic topology.

Keywords Symplectic pair      neighborhood theorem      contact pair      Liouville vector field     
Corresponding Author(s): Hai-Long HER   
Issue Date: 23 September 2019
 Cite this article:   
Hai-Long HER. Contact-pair neighborhood theorem for submanifolds in symplectic pairs[J]. Front. Math. China, 2019, 14(4): 781-791.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0778-4
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I4/781
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