@article{RONG2026, 
author = {Xiaochun RONG},
title = {Fundamental groups of manifolds of positive sectional curvature},
year = {2026},
journal = {Journal of Capital Normal University (Natural Science Edition)},
volume = {47},
number = {1},
pages = {1-13},
keywords = {positive sectional curvature, conjecture on almost cyclic fundamental groups, equivariant Gromov-Hausdorff convergence, Alexandrov geometry},
url = {https://www.sciopen.com/article/10.19789/j.1004-9398.2026.01.001},
doi = {10.19789/j.1004-9398.2026.01.001},
abstract = {Let M be a compact n-manifold of positive sectional curvature. We will review classical results on the fundamental group of M, a motivation on the    c      (    n    )  -cyclic conjecture that the fundamental group of M contains a cyclic subgroup of index bounded above by    c      (    n    )  , a constant depending only on n, and we will survey partial results (up to date) on the    c      (    n    )  -cyclic conjecture.}
}