Yu-Hang Zhao

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math.DG2025

A gap Theorem on closed self-shrinkers of mean curvature flow

Yuhang Zhao

In this paper, we prove a pinching theorem for $n -$ dimensional closed self-shrinkers of the mean curvature flow. If the squared norm of the second fundamental form of a closed self…

math.DG2023

First eigenvalue of embedded minimal surfaces in $S^{3}$

Yuhang Zhao

We prove that for an embedded minimal surface $Σ$ in $S^{3}$ , the first eigenvalue of the Laplacian operator $λ_{1}$ satisfies $λ_{1} \geq 1 + ε_{g}$ , where $ε_{g} > 0$ is a constant depending on…

A gap Theorem on closed self-shrinkers of mean curvature flow

First eigenvalue of embedded minimal surfaces in S3

First eigenvalue of embedded minimal surfaces in $S^{3}$