Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds

Jingyi Chen; John Man Shun Ma

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arXiv · 2209.12668

Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds

Jingyi Chen·John Man Shun Ma

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Abstract

In this work, we prove a compactness theorem on the space of all Hamiltonian stationay Lagrangian submanifolds in a compact symplectic manifold with uniform bounds on area and total extrinsic curvature.

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Jingyi Chen, John Man Shun Ma. 2022-09-26. Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. https://arxiv.org/abs/2209.12668

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