On the asymptotic geometry of nonpositively curved graphmanifolds
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- by S. Buyalo and V. Schroeder PDF
- Trans. Amer. Math. Soc. 353 (2001), 853-875 Request permission
Abstract:
In this paper we study the Tits geometry of a 3-dimensional graphmanifold of nonpositive curvature. In particular we give an optimal upper bound for the length of nonstandard components of the Tits metric. In the special case of a $\pi /2$-metric we determine the whole length spectrum of the nonstandard components.References
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Additional Information
- S. Buyalo
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Fontanka 27, 191011 St. Petersburg, Russia
- Email: buyalo@pdmi.ras.ru
- V. Schroeder
- Affiliation: Institut für Mathematik, Universität Zürich, Winterthurer Str. 190, CH-8057 Zürich, Switzerland
- MR Author ID: 157030
- Email: vschroed@math.unizh.ch
- Received by editor(s): July 28, 1997
- Received by editor(s) in revised form: May 5, 1999
- Published electronically: November 8, 2000
- Additional Notes: The first author was supported by RFFI Grant 96-01-00674 and CRDF Grant RM1-169
The second author was supported by the Swiss National Science Foundation - © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 853-875
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9947-00-02583-6
- MathSciNet review: 1707192