An estimate for the volume entropy of nonpositively curved graph-manifolds
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S. Buyalo
Translated by: the author - St. Petersburg Math. J. 15 (2004), 41-47
- DOI: https://doi.org/10.1090/S1061-0022-03-00801-X
- Published electronically: December 31, 2003
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Abstract:
Let $M$ be a closed 3-dimensional graph-manifold. It is proved that $h(g)>1$ for every geometrization $g$ of $M$, where $h(g)$ is the topological entropy of the geodesic flow of $g$.References
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Bibliographic Information
- S. Buyalo
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191011, Russia
- Email: buyalo@pdmi.ras.ru
- Received by editor(s): September 2, 2002
- Published electronically: December 31, 2003
- Additional Notes: Partially supported by RFBR (grants nos. 02-01-00090 and 00-15-96024) and by CRDF (grant. no. RM1-2381-ST-02).
- © Copyright 2003 American Mathematical Society
- Journal: St. Petersburg Math. J. 15 (2004), 41-47
- MSC (2000): Primary 53C22
- DOI: https://doi.org/10.1090/S1061-0022-03-00801-X
- MathSciNet review: 1979717