Relating exponential growth in a manifold and its fundamental group
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Publication:3155929
DOI10.1090/S0002-9939-04-07755-XzbMath1108.37027MaRDI QIDQ3155929
Publication date: 5 January 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Fundamental group, presentations, free differential calculus (57M05) Topological entropy (37B40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (3)
Examples of uniform exponential growth in algebras ⋮ Szegő kernels and Poincaré series ⋮ Topological entropy and blocking cost for geodesics in Riemannian manifolds
Cites Work
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- Topological entropy for geodesic flows
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- A Wilson group of non-uniformly exponential growth.
- Uniform growth in groups of exponential growth
- The entropy of solvable groups
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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