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arXiv · 2209.15531

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

Habib Alizadeh
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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.

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Habib Alizadeh. 2022-09-30. On the group of $\omega^{k}$-preserving diffeomorphisms. https://arxiv.org/abs/2209.15531

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