English

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

Symplectic Geometry 2022-10-03 v1

Abstract

We show that if a diffeomorphism of a symplectic manifold (M2n,ω)(M^{2n},\omega) preserves the form ωk\omega^{k} for 0<k<n0 < k < n and is connected to identity through such diffeomorphisms then it is indeed a symplectomorphism.

Keywords

Cite

@article{arxiv.2209.15531,
  title  = {On the group of $\omega^{k}$-preserving diffeomorphisms},
  author = {Habib Alizadeh},
  journal= {arXiv preprint arXiv:2209.15531},
  year   = {2022}
}

Comments

The paper contains 10 pages