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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2017 Volume 101, Issue 2, Pages 169–180 (Mi mzm10609)
This article is cited in 4 papers

Normed Space Structure on a Busemann $G$-Space of Cone Type

P. D. Andreev

Nothern (Arctic) Federal University named after M. V. Lomonosov, Arkhangelsk

Abstract: It is proved that any Busemann nonpositively curved $G$-space of cone type is isometric to a finite-dimensional normed space with strictly convex norm.

Keywords: Busemann $G$-space, tangent cone.

UDC: 514.1

Received: 03.06.2016

DOI: 10.4213/mzm10609


 English version: Mathematical Notes, 2017, 101:2, 193–202

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© Steklov Math. Inst. of RAS, 2025