On fundamental groups of Finsler manifolds. (English) Zbl 1239.53031
The authors obtains some relationships between the growth of fundamental groups and the volume growth of universal covers of Finsler manifolds. The paper contains estimates of entropies, the number of generators of fundamental groups of Finsler manifolds and studies the quasi-isometry and the geometric norm in Finsler geometry.
Reviewer: Oana Constantinescu (Iaşi)
MSC:
| 53B40 | Local differential geometry of Finsler spaces and generalizations (areal metrics) |
| 53C23 | Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces |
| 57M10 | Covering spaces and low-dimensional topology |
| 37B40 | Topological entropy |
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