15 citations · 35 across the 10 of their papers we have counts for
6 papers · 1 filter
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:…
The Dirichlet Problem for the Minimal Surface System in Arbitrary Codimension
Mu-Tao Wang
We solve the Cauchy-Dirichlet problem for the minimal surface system in arbitrary dimension and codimension assuming a condition on the variation of the initial submanifold .
Mean curvature flow in higher codimension
Mu-Tao Wang
The mean curvature flow is an evolution process under which a submanifold deforms in the direction of its mean curvature vector. The hypersurface case has been much studied since t…
On graphic Bernstein type results in higher codimension
Mu-Tao Wang
Let Σbe a minimal submanifold of \R^{n+m} that can be represented as the graph of a smooth map f:\R^n-->\R^m. We apply a formula we derived in the study of mean curvature flow to o…