On the asymptotically \(\mathrm{PT}_{-1}\) spaces

DOI10.1007/s10114-017-5257-9zbMath1386.30046OpenAlexW2754261268MaRDI QIDQ1682751

Ying Qing Xiao, Yue Ping Jiang, Xin Luo

Publication date: 5 December 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-5257-9

zbMATH Keywords

asymptotically \(\mathrm{PT}_{-1}\) spacePtolemy spaceGromov hyperbolic spaceasymptotic subcone

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Geometric function theory (30C99)

Cites Work

• Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality
• Large scale geometry
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Hyperbolic convex sets and quasisymmetric functions
• Hyperbolizing metric spaces
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