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Transactions of the American Mathematical Society

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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
Published electronically: November 8, 2000
MathSciNet review: 1707192
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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.

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Additional Information

S. Buyalo
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Fontanka 27, 191011 St. Petersburg, Russia

V. Schroeder
Affiliation: Institut für Mathematik, Universität Zürich, Winterthurer Str. 190, CH-8057 Zürich, Switzerland

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

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