Abstract
We give a solution to the problem posed by Busemann which is as follows: Determine the noncompact Busemann G-spaces such that for every two geodesics there exists a motion taking one to the other. We prove that each of these spaces is isometric to the Euclidean space or to one of the noncompact symmetric spaces of rank 1 (of negative sectional curvature).
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Original Russian Text Copyright © 2010 Berestovskii V. N.
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Berestovskii, V. Solution of a Busemann problem. Sib Math J 51, 962–970 (2010). https://doi.org/10.1007/s11202-010-0095-3
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DOI: https://doi.org/10.1007/s11202-010-0095-3