Buyalo, S; Schroeder, Viktor (2001). On the asymptotic geometry of nonpositively curved graphmanifolds. Transactions of the American Mathematical Society, 353(3):853-875.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | nonpositive curvature, Tits metric, length spectrum |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 23 Jan 2022 14:39 |
| 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 |
| OA Status: | Hybrid |
| 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 |
Buyalo, S