Stability theorems for symplectic and contact pairs
Symplectic Geometry
2007-05-23 v1 Geometric Topology
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.
Cite
@article{arxiv.math/0407442,
title = {Stability theorems for symplectic and contact pairs},
author = {G. Bande and P. Ghiggini and D. Kotschick},
journal= {arXiv preprint arXiv:math/0407442},
year = {2007}
}
Comments
to appear in International Mathematics Research Notices