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

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dc.creatorAndreev, P. D.
dc.date2008-05-11
dc.date.accessioned2026-07-07T09:38:16Z
dc.date.available2026-07-07T09:38:16Z
dc.descriptionThe 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 Busemann. We prove that if $X$ is geodesically complete connected at infinity proper Busemann space, then it has the following characterization of isometries. For any bijection $f:X\to X$, if $f$ and $f^{-1}$ preserve the distance 1, then $f$ is an isometry.
dc.identifierhttps://arxiv.org/abs/0805.1539
dc.identifierhttp://arxiv.org/abs/0805.1539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160745
dc.subjectMetric Geometry
dc.subject53C70
dc.titleA.D. Alexandrov's problem for Busemann non-positively curved spaces
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