15 citations · 32 across the 7 of their papers we have counts for
10 papers · 1 filter
A convergence result of the Lagrangian mean curvature flow
Mu-Tao Wang
We prove the mean curvature flow of the graph of a symplectomorphism between Riemann surfaces converges smoothly as time approaches infinity.
Stability and curvature estimates for minimal graphs with flat normal bundles
Mu-Tao Wang
It is well-known that a minimal graph of codimension one is stable, i.e. the second variation of the area functional is non-negative. This is no longer true for higher codimensiona…
Remarks on a Class of Solutions to the Minimal Surface System
Mu-Tao Wang
We discuss a special class of solutions to the minimal surface system. These are vector-valued functions that "decrease area" and are natural generalization of scalar functions. Af…
A Stability Criterion for Nonparametric Minimal Submanifolds
Yng-Ing Lee, Mu-Tao Wang
An dimensional minimal submanifold of is called non-parametric if can be represented as the graph of a vector-valued function .…
Gauss Maps of the Mean Curvature Flow
Mu-Tao Wang
Let be a family of compact immersed submanifolds moving by their mean curvature vectors. We show the Gauss maps form a ha…
The Mean Curvature Flow Smoothes Lipschitz Submanifolds
Mu-Tao Wang
The mean curvature flow is the gradient flow of volume functionals on the space of submanifolds. We prove a fundamental regularity result of the mean curvature flow in this paper:…