ON THE FUNDAMENTAL-GROUPS OF MANIFOLDS OF POSITIVE SECTIONAL CURVATURE

Authors
RONG XC
Citation
Xc. Rong, ON THE FUNDAMENTAL-GROUPS OF MANIFOLDS OF POSITIVE SECTIONAL CURVATURE, Annals of mathematics, 143(2), 1996, pp. 397-411
Citations number
35
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annals of mathematics → ACNP
ISSN journal
0003486X
Volume
143
Issue
2
Year of publication
1996
Pages
397 - 411
Database
ISI
SICI code
0003-486X(1996)143:2<397:OTFOMO>2.0.ZU;2-K
Abstract
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.