3 papers
math.DG2022
Compactness of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
Jingyi Chen, John Man Shun Ma
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 tota…
math.DG2019
On the Compactness of Hamiltonian Stationary Lagrangian Surfaces in K{ä}hler Surfaces
Jingyi Chen, John Man Shun Ma
We prove a bubble tree convergence theorem for a sequence of closed Hamiltonian Stationary Lagrangian surfaces with bounded areas and Willmore energies in a complete K{ä}hler surfa…
math.DG2016
Geometry of Lagrangian self-shrinking tori and applications to the Piecewise Lagrangian Mean Curvature Flow
Jingyi Chen, John Man Shun Ma
We study geometric properties of the Lagrangian self-shrinking tori in . When the area is bounded above uniformly, we prove that the entropy for the Lagrangian self-sh…