Mu-Tao Wang

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20232026

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5 papers · 1 filter

math.DG2026

Stability and Area-Minimizing Property of Higher-Dimensional Helicoids

Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1

For each integer $k \geq 1$ , we study the $(k + 1)$ -dimensional helicoid $H_{k} \subset R^{2 k + 1}$ parametrized by \[ (u_1,\ldots,u_k,s) \longmapsto \bigl(u_1e^{is},\ldots,u_ke^{i…

math.DG2026

Calibrating Forms for Minimal Graphs in Arbitrary Codimension

Chung-Jun Tsai, Mu-Tao Wang

We introduce a new family of closed differential forms naturally associated with minimal graphical submanifolds in Euclidean space, defined in arbitrary codimension. For each minim…

math.DG2025

Constructing entire minimal graphs by evolving planes

Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1

We introduce an evolving-plane ansatz for the explicit construction of entire minimal graphs of dimension $n$ ( $n \geq 3$ ) and codimension $m$ ( $m \geq 2$ ), for any odd integer $n$ .…

math.DG2025

An ansatz for constructing explicit solutions of Hessian equations

Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang

We introduce a (variation of quadrics) ansatz for constructing explicit, real-valued solutions to broad classes of complex Hessian equations on domains in $C^{n + 1}$ and re…

math.DG2023

Entire solutions of two-convex Lagrangian mean curvature flows

Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang

Given an entire $C^{2}$ function $u$ on $R^{n}$ , we consider the graph of $D u$ as a Lagrangian submanifold of $R^{2 n}$ , and deform it by the mean curvature flow in $…