Chung-Jun Tsai

collaborators

4 papers

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.DG2020

An Isoperimetric-Type Inequality for Spacelike Submanifold in the Minkowski Space

Chung-Jun Tsai, Kai-Hsiang Wang

We prove an isoperimetric-type inequality for maximal, spacelike submanifold in the Minkowski space. The argument is based on the recent work of Brendle.

math.DG2018

Global uniqueness of the minimal sphere in the Atiyah-Hitchin manifold

Chung-Jun Tsai, Mu-Tao Wang

In this note, we study submanifold geometry of the Atiyah-Hitchin manifold, the double cover of the $2$ -monopole moduli space. When the manifold is naturally identified as the tota…