The purpose of this article is to find out sharp estimates for the first eigenvalue of the stability operator for compact surfaces with constant mean curvature immersed into a Riemannian 3-manifold having a nowhere vanishing closed conformal vector field, and characterize the cases where the estimates are reached.

中文翻译：

---

在闭合共形矢量场存在下表面的第一稳定特征值的精确估计

本文的目的是找出具有恒定平均曲率的紧凑表面的稳定算符的第一特征值的精确估计，该紧凑表面被浸入无处消失的封闭共形矢量场的黎曼三流形，并描述估计为到达。