On the boundary of a special class of hyperbolic two-dimensional simplicial complexes

DOI10.1007/S00022-009-0002-XzbMath1207.57009OpenAlexW2073769079MaRDI QIDQ1037207

Emmanuel Vrontakis, Ioannis Papadoperakis, Charalampos Charitos

Publication date: 13 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00022-009-0002-x

zbMATH Keywords

canonical singularitiesvisual boundaryCAT(-1)

Mathematics Subject Classification ID

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

Cites Work

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• Hyperbolic structures and measured foliations on 2-dimensional complexes
• Approximation of recurrence in negatively curved metric spaces
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• The Monotone Union of Open n-Cells is an Open n-Cell
• Complexity of geodesics on 2-dimensional ideal polyhedra and isotopies
• Geodesic Flow on Ideal Polyhedra
• Geodesic Flows on Negatively Curved Manifolds. II

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