Mao-Pei Tsui

activity

20022026

most citedSoliton solutions for the Laplacian coflow of some

G_{2}

-structures with symmetry

47 citations · 50 across the 14 of their papers we have counts for

collaborators

15 papers

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.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.CO2023

On Steinerberger Curvature and Graph Distance Matrices

Wei-Chia Chen, Mao-Pei Tsui

Steinerberger proposed a notion of curvature on graphs involving the graph distance matrix (J. Graph Theory, 2023). We show that nonnegative curvature is almost preserved under thr…

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 $…

math.DG2023

Mean Curvature Flows of Two-Convex Lagrangians

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

We prove regularity, global existence, and convergence of Lagrangian mean curvature flows in the two-convex case. Such results were previously only known in the convex case, of whi…