On the horoboundary and the geometry of rays of negatively curved manifolds

DOI10.2140/pjm.2012.259.55zbMath1260.53068OpenAlexW2949112369WikidataQ64438067 ScholiaQ64438067MaRDI QIDQ1759641

Andrea Sambusetti, Marc Peigné, Françoise Dal'Bo

Publication date: 21 November 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.org/pjm/2012/259-1/p03.xhtml

zbMATH Keywords

Gromov boundaryasymptotic rayhorofunctiongeometrically finite

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Discontinuous groups of transformations (57S30)

Related Items (6)

Toric varieties vs. horofunction compactifications of polyhedral norms ⋮ Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary ⋮ Convergence and counting in infinite measure ⋮ Circumcenter extension maps for non-positively curved spaces ⋮ Rational embeddings of hyperbolic groups ⋮ On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points

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