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On the Hausdorff dimension of \(\mathrm{CAT}(\kappa)\) surfaces

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Publication:311227
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DOI10.1515/agms-2016-0010zbMath1350.28005arXiv1603.00497OpenAlexW3102795410MaRDI QIDQ311227

David Constantine, Jean-François Lafont

Publication date: 29 September 2016

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00497


zbMATH Keywords

Hausdorff dimensiontopological entropymetric geometry\(\mathrm{CAT(k)}\) surface


Mathematics Subject Classification ID

Rigidity results (53C24) Hausdorff and packing measures (28A78)


Related Items

Geodesically complete spaces with an upper curvature bound



Cites Work

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  • On intrinsic geometry of surfaces in normed spaces
  • Hyperbolization of polyhedra
  • Entropy-rigidity of locally symmetric spaces of negative curvature
  • Shrinking cell-like decompositions of manifolds. Codimension three
  • Topological entropy for geodesic flows
  • On the cross-ratio at the boundary of \(CAT(-1)\)-spaces
  • Strict hyperbolization
  • Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
  • Dimension conforme et sphère à l'infini des variétés à courbure négative
  • Entropy of the geodesic flow for metric spaces and Bruhat–Tits buildings
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