Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds

2022/09/26 by Chen, Jingyi, Ma, John Man Shun · 1 citation
#53D12 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2209.12668

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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