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Fundamental groups of positively curved manifolds with symmetry |
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| Authors: | Philipp Frank Xiaochun Rong Yusheng Wang |
| Institution: | 1. University of Munster, Einsteinstrasse 62, 48149, Munster, Germany 2. Mathematics Department, Capital Normal University, Beijing, 100048, People’s Republic of China 3. Mathematics Department, Rutgers University, New Brunswick, NJ, 08903, USA 4. Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China |
| Abstract: | We obtain a classification for the fundamental groups of closed $n$ -manifolds of positive sectional curvature which admit an isometric $T^k$ -action with $k \ge \frac{n}{6}+1 (n \ne 11, 15)$ . |
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