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arXiv · 0907.2567

Deforming symplectomorphisms of complex projective spaces by the mean curvature flow

Ivana Medos·Mu-Tao Wang
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Abstract

We apply the mean curvature flow to deform symplectomorphisms of $\mathbb{CP}^n$. In particular, we prove that, for each dimension n, there exists a constant $Λ$, explicitly computable, such that any $Λ$-pinched symplectomorphism of $\mathbb{CP}^n$ is symplectically isotopic to a biholomorphic isometry.

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Ivana Medos, Mu-Tao Wang. 2011-01-26. Deforming symplectomorphisms of complex projective spaces by the mean curvature flow. https://arxiv.org/abs/0907.2567

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