Large embedded balls and Heegaard genus in negative curvature.
Bachman, David, Cooper, Daryl, White, Matthew E. (2004)
Algebraic & Geometric Topology
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Bachman, David, Cooper, Daryl, White, Matthew E. (2004)
Algebraic & Geometric Topology
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Cooper, D., Long, D.D. (2001)
Geometry & Topology
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D'Azevedo Breda, Ana M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Leibon, Gregory (2002)
Geometry & Topology
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Agol, Ian (2000)
Geometry & Topology
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Minsky, Yair N. (2000)
Geometry & Topology
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François Fillastre (2007)
Annales de l’institut Fourier
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A Fuchsian polyhedron in hyperbolic space is a polyhedral surface invariant under the action of a Fuchsian group of isometries (i.e. a group of isometries leaving globally invariant a totally geodesic surface, on which it acts cocompactly). The induced metric on a convex Fuchsian polyhedron is isometric to a hyperbolic metric with conical singularities of positive singular curvature on a compact surface of genus greater than one. We prove that these metrics are actually realised by exactly...
Francis Bonahon (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Michael Kapovich, Bruce Kleiner (2000)
Annales scientifiques de l'École Normale Supérieure
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