1 citations · 2 across the 7 of their papers we have counts for
7 papers
Comparison and Rigidity Theorems for geodesic curvatures in two dimensional Alexandrov spaces
Le Ma, John Man Shun Ma
In this work, we study geodesic curvature of the boundary of a two dimensional Alexandrov space of curvature bounded below (CBB). We prove several comparison and globalization theo…
Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds
Dasong Li, John Man Shun Ma
In this paper we prove two backward uniqueness theorems for extrinsic geometric flow of possibly non-compact hypersurfaces in general ambient complete Riemannian manifolds. These a…
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…
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…
Parabolic Omori-Yau maximum principle for mean curvature flow and some applications
John Man Shun Ma
We derive a parabolic version of Omori-Yau maximum principle for a proper mean curvature flow when the ambient space has lower bound on -sectional curvature. We apply this to…
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…
The space of compact self-shrinking solutions to the Lagrangian Mean Curvature Flow in
Jingyi Chen, John Man Shun Ma
Let be a sequence of conformally immersed Lagrangian self-shrinkers with a uniform area upper bound to the mean curvature flow, and suppose that the…