The geometry of the tangent cone to a \(G\)-space of nonpositive curvature with distinguished family of segments

DOI10.3103/S1066369X16010011zbMath1337.53093MaRDI QIDQ268930

P. D. Andreev, V. V. Starostina

Publication date: 18 April 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

tangent conenonpositive curvatureBusemann \(G\)-spaceBusemann conjecturedistinguished family of segments

Mathematics Subject Classification ID

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

Related Items (1)

Normed planes in tangent cone to chord space of nonpositive curvature

Cites Work

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• A tangent space in the sense of Busemann
• Metric space of all \(N\)-nets in the space of non-positive Busemann curvature
• The local structure of length spaces with curvature bounded above
• Novel results in the geometry of geodesics
• Proof of the Busemann conjecture for $G$-spaces of nonpositive curvature

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