Fundamental Groups of Manifolds of Positive Sectional Curvature and Bounded Covering Geometry

Xiaochun Rong¹

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作者信息

1. Mathematics Department,Rutgers University New Brunswick,NJ 08903 USA;Mathematics Department,Capital Normal University,Beijing 100875,China
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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 π1(M)has a cyclic subgroup of index bounded above by a constant depending only on n and v.

Key words

Positive sectional curvature/fundamental groups/the c(n)-cyclic conjecture

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出版年

2024

数学研究(英文)

厦门大学教学科学学院

数学研究(英文)

影响因子：0.157

ISSN：2096-9856

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