In this paper we show that every three-dimensional closed hyperbolic manifold admits no locally geometric $1$-parameter family of closed minimal surfaces.

中文翻译：

---

双曲三流形中不存在几何最小叶理

在本文中，我们证明了每个三维闭合双曲流形都不允许局部几何 $1$ 参数的闭合最小曲面族。