J-holomorphic Disks and Lagrangian Squeezing

Details J-holomorphic Disks and Lagrangian Squeezing J-holomorphic Disks and Lagrangian Squeezing

2003-09-12

arxiv.org/abs/math/0309205v1

Mathematics

Symplectic Geometry

Scientific paper

We define an invariant $l(M,W,\omega)$ for Lagrangian submanifold and prove
that if the Lagrangian submanifold is embedded in the ball of radius $r_0$,
then $l(M,W,\Omega)$ must be smaller than $4\pi t_0^2$. This improves Gromov's
Lagrangian embedding theorem.

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