A. D. Alexandrov's problem for non-positively curved spaces in the sense of Busemann

DOI10.3103/S1066369X10090021zbMath1211.53091MaRDI QIDQ619479

P. D. Andreev

Publication date: 25 January 2011

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

zbMATH Keywords

isometrynon-positive curvaturegeodesicgeodesic boundaryAlexandrov's problemhorofunction boundary

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items

Normed space structure on a Busemann \(G\)-space of cone type ⋮ Proof of the Busemann conjecture for $G$-spaces of nonpositive curvature

Cites Work

• Limit sets of geometrically finite groups acting on Busemann spaces
• Isometries in Aleksandrov spaces of curvature bounded above
• Group \(C^*\)-algebras as compact quantum metric spaces
• Geometry of ideal boundaries of geodesic spaces with nonpositive curvature in the sense of Busemann
• The boundary of a Busemann space
• Minkowskian Subspaces of Non-Positively Curved Metric Spaces
• Metric spaces, convexity and nonpositive curvature
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