On the fundamental groups of manifolds of positive sectional curvature

• 成果类型: Article
• 署名作者: Rong, XC
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2118648
• 发表日期: 1996
• 页码: 397-411
• 关键词: collapsing riemannian-manifolds; finiteness theorems; dimension

摘要

Let M be an n-manifold with sectional curvature 0 < delta less than or equal to K less than or equal to 1. The main result asserts that the fundamental group of M has a finite normal cyclic subgroup with index less than w(n, delta) < infinity, a constant depending on n and delta.