On the asymptotic geometry of nonpositively curved graphmanifolds

Authors:
S. Buyalo and V. Schroeder

Journal:
Trans. Amer. Math. Soc. **353** (2001), 853-875

MSC (2000):
Primary 53C20

DOI:
https://doi.org/10.1090/S0002-9947-00-02583-6

Published electronically:
November 8, 2000

MathSciNet review:
1707192

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Abstract | References | Similar Articles | Additional Information

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 -metric we determine the whole length spectrum of the nonstandard components.

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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

Email:
vschroed@math.unizh.ch

DOI:
https://doi.org/10.1090/S0002-9947-00-02583-6

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

Article copyright:
© Copyright 2000
American Mathematical Society