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On the asymptotic geometry of nonpositively curved graphmanifolds. (English) Zbl 1031.53059

Summary: 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.

MSC:

53C20 Global Riemannian geometry, including pinching
Full Text: DOI

References:

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