Characterizing complete $\operatorname{CAT}(\kappa)$-spaces, $\kappa<0$, with geodesic boundary

DOI10.1090/S0002-9947-2010-05144-XzbMath1254.53072OpenAlexW1558119078MaRDI QIDQ3082345

Thomas Foertsch, Katrin Radke

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-05144-x

zbMATH Keywords

warped productsgeodesic metric spacesboundaries at infinity\(\mathrm{CAT}(\kappa)\)-spaces

Mathematics Subject Classification ID

Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality
• A product construction for hyperbolic metric spaces
• Elements of asymptotic geometry
• Warped products of Hadamard spaces
• Embeddings of Gromov hyperbolic spaces
• Curvature bounds for warped products of metric spaces
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• Asymptotic upper curvature bounds in coarse geometry
• A new description of the Bowen—Margulis measure
• Warped products of metric spaces of curvature bounded from above
• Nonpositive Curvature and the Ptolemy Inequality
• Manifolds of Negative Curvature

This page was built for publication: Characterizing complete $\operatorname{CAT}(\kappa)$-spaces, $\kappa<0$, with geodesic boundary