Stability theorems for symplectic and contact pairs

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.

to appear in International Mathematics Research Notices

Cited by in corpus (1)

• The geometry of symplectic pairs