@Article{JMS-57-3, author = {Xiaochun, Rong}, title = {Fundamental Groups of Manifolds of Positive Sectional Curvature and Bounded Covering Geometry}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {3}, pages = {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 $v.$

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n3.24.07}, url = {https://global-sci.com/article/91452/fundamental-groups-of-manifolds-of-positive-sectional-curvature-and-bounded-covering-geometry} }