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On the asymptotic geometry of nonpositively curved graphmanifolds


Buyalo, S; Schroeder, V (2001). On the asymptotic geometry of nonpositively curved graphmanifolds. Transactions of the American Mathematical Society, 353(3):853-875.

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 π/2-metric we determine the whole length spectrum of the nonstandard components.

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 π/2-metric we determine the whole length spectrum of the nonstandard components.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:nonpositive curvature; Tits metric; length spectrum
Language:English
Date:2001
Deposited On:29 Nov 2010 16:27
Last Modified:06 Dec 2017 20:52
Publisher:American Mathematical Society
ISSN:0002-9947
Additional Information:First published in [Transactions of the American Mathematical Society] in [vol. 353 (2001), no. 3], published by the American Mathematical Society
Publisher DOI:https://doi.org/10.1090/S0002-9947-00-02583-6
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1031.53059
http://www.ams.org/mathscinet-getitem?mr=1707192

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