On the group of ${\omega }^k$-preserving diffeomorphisms

Abstract

We show that if a diffeomorphism of a symplectic manifold $(M^{2n},\omega )$ preserves the form ${\omega }^k$ for $0<k<n$ and is connected to identity through such diffeomorphisms then it is indeed a symplectomorphism.

arXiv commentThe paper contains 10 pages