Proof of the Busemann conjecture for $G$-spaces of nonpositive curvature

DOI10.1090/S1061-0022-2015-01336-8zbMath1318.53084OpenAlexW2042640568WikidataQ123198418 ScholiaQ123198418MaRDI QIDQ5254691

P. D. Andreev

Publication date: 10 June 2015

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2015-01336-8

zbMATH Keywords

nonpositive curvatureBusemann conjecture\(G\)-spaces

Mathematics Subject Classification ID

Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (6)

The geometry of the tangent cone to a \(G\)-space of nonpositive curvature with distinguished family of segments ⋮ Normed space structure on a Busemann \(G\)-space of cone type ⋮ Foundations of singular Finsler geometry ⋮ On definitions of Finsler spaces and axiomatics of singular Finsler geometry ⋮ The Poincaré Conjecture and Related Statements ⋮ Normed planes in tangent cone to chord space of nonpositive curvature

Cites Work

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• Superrigidity, generalized harmonic maps and uniformly convex spaces
• The Hadamard-Cartan theorem in locally convex metric spaces
• Spaces with non-positive curvature
• Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)
• On Spaces in Which Two Points Determine a Geodesic
• Metric spaces, convexity and nonpositive curvature

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