Mu-Tao Wang

activity

20012026

most citedQuasilocal mass in general relativity

159 citations · 725 across the 78 of their papers we have counts for

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Showing 2002Show all

7 papers · 1 filter

math.DG2002

A Stability Criterion for Nonparametric Minimal Submanifolds

Yng-Ing Lee, Mu-Tao Wang

An $n$ dimensional minimal submanifold $Σ$ of $R^{n + m}$ is called non-parametric if $Σ$ can be represented as the graph of a vector-valued function $f : D \subset R^{n} \mapsto R^{m}$ .…

math.DG2002

Subsets of Grassmannians Preserved by Mean Curvature Flows

Mu-Tao Wang

Let $M = Σ_{1} \times Σ_{2}$ be the product of two compact Riemannian manifolds of dimension $n \geq 2$ and two, respectively. Let $Σ$ be the graph of a smooth map $f : Σ_{1} \mapsto Σ_{2}$ , the…

math.DG2002

Gauss Maps of the Mean Curvature Flow

Mu-Tao Wang

Let $F : Σ^{n} \times [0, T) \to R^{n + m}$ be a family of compact immersed submanifolds moving by their mean curvature vectors. We show the Gauss maps $γ : (Σ^{n}, g_{t}) \to G (n, m)$ form a ha…

math.DG2002

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:…

math.AP2002★ 11 cited

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 .

math.DG2002★ 8 cited

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…