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 ] 。
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