中文摘要：

在这份报纸，我们由使用比较几何学的方法学习在开的 manifolds 和他们的拓扑学的过量之间的关系。我们证明弯曲否定地降低的与 Ricci 歧管的完全的开的 Riemmannian 跳了如果 conjugate 半径被围住从，具有有限拓扑的类型被它的 conjugate 半径的某功能被一个积极常数和它的过量下面围住，它改进一些结果在[4 ] 。

英文摘要：

In this paper, we study the relation between the excess of open manifolds and their topology by using the methods of comparison geometry. We prove that a complete open Riemmannian manifold with Ricci curvature negatively lower bounded is of finite topological type provided that the conjugate radius is bounded from below by a positive constant and its Excess is bounded by some function of its conjugate radius, which improves some results in [4].