Stability Theorems for Symplectic and Contact Pairs

BANDE, GIANLUCA;GHIGGINI P;KOTSCHICK D.

2004-01-01

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Abstract

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.