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Contact-pair neighborhood theorem for submanifolds in symplectic pairs.
- Source :
-
Frontiers of Mathematics in China . Aug2019, Vol. 14 Issue 4, p781-791. 11p. - Publication Year :
- 2019
-
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 Q ⊂ M be 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 β and α, respectively. This is a generalization of the neighborhood theorem for contact-type hypersurfaces in symplectic topology. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16733452
- Volume :
- 14
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Frontiers of Mathematics in China
- Publication Type :
- Academic Journal
- Accession number :
- 138396684
- Full Text :
- https://doi.org/10.1007/s11464-019-0778-4