Year: 2024
Author: Xiaochun Rong
Journal of Mathematical Study, Vol. 57 (2024), Iss. 3 : pp. 358–372
Abstract
Let $M$ be an $n$-manifold of positive sectional curvature $≥ 1.$ In this paper, we show that if the Riemannian universal covering has volume at least $v > 0,$ then the fundamental group $\pi_1(M)$ has a cyclic subgroup of index bounded above by a constant depending only on $n$ and $v.$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v57n3.24.07
Journal of Mathematical Study, Vol. 57 (2024), Iss. 3 : pp. 358–372
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Positive sectional curvature fundamental groups the $c(n)$-cyclic conjecture.