Deforming symplectomorphisms of complex projective spaces by the mean curvature flow

Details Deforming symplectomorphisms of complex projective spaces by the mean curvature flow Deforming symplectomorphisms of complex projective spaces by the mean curvature flow

2009-07-15

arxiv.org/abs/0907.2567v3

Mathematics

Differential Geometry

32 pages. Final version. To appear in Journal of Differential Geometry

Scientific paper

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 $\Lambda$, explicitly computable, such that any
$\Lambda$-pinched symplectomorphism of $\mathbb{CP}^n$ is symplectically
isotopic to a biholomorphic isometry.

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