The cone metric of a Busemann space

DOI10.1007/s00022-018-0430-6zbMath1406.53046OpenAlexW2794911016MaRDI QIDQ1754413

Xianqiang Yang

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0430-6

zbMATH Keywords

Busemann spacegeodesic compactificationhorofunction compactification

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (2)

Fixed point theorems for interpolative Kanann contraction mappings in Busemann space with an application to matrix equation ⋮ Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT(0) space with application to hyperbolical rotation matrix

Cites Work

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• Semilinear metric semilattices on \(\mathbb R\)-trees
• Compactifications determined by subsets of C*(X)
• 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
• The horofunction boundary of finite-dimensional normed spaces
• Metric spaces, convexity and nonpositive curvature

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