2004/07/26 by G. Bande, P. Ghiggini, D. Kotschick
Mathematics · #math.SG #math.GT #msc:53C15 #msc:57R17 #msc:57R30
paper · pdf · doi:10.1155/s1073792804141974
published as Int. Math. Res. Not. 2004:68 (2004), 3673--3688 · to appear in International Mathematics Research Notices
arxiv created 2004/07/26 · arxiv updated 2009/12/01
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.