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most citedTits geometry on ideal boundaries of Busemann non-positively curved space

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math.MG2008

A.D. Alexandrov's problem for Busemann non-positively curved spaces

P. D. Andreev

The paper is the last in the cycle devoted to the solution of Alexandrov's problem for non-positively curved spaces. Here we study non-positively curved spaces in the sense of Buse…

math.MG2008★ 1 cited

Tits geometry on ideal boundaries of Busemann non-positively curved space

P. D. Andreev

Let be a non-compact proper Busemann space. We introduce a collection of binary relations on its ideal boundaries generalizing comparison of Tits metric with two key values …

math.MG2005

Semilinear metric semilattices on -trees

P. D. Andreev

We introduce the notion of metric semilattice on the metric space and prove the criterion of -tree as connected geodesic metric space admitting the partial order, such that…