Stability theorems for symplectic and contact pairs

Details Stability theorems for symplectic and contact pairs Stability theorems for symplectic and contact pairs

2004-07-26

arxiv.org/abs/math/0407442v1

Int. Math. Res. Not. 2004:68 (2004), 3673--3688

Mathematics

Symplectic Geometry

to appear in International Mathematics Research Notices

Scientific paper

10.1155/S1073792804141974

We prove Gray--Moser stability theorems for complementary pairs of forms of constant class defining symplectic pairs, contact-symplectic pairs and contact pairs. We also consider the case of contact-symplectic and contact-contact structures, in which the constant class condition on a one-form is replaced by the condition that its kernel hyperplane distribution have constant class in the sense of E. Cartan.

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