A characterization of compact convex polyhedra in hyperbolic 3-space.

Craig D. Hodgson; Igor Rivin

Inventiones mathematicae (1993)

  • Volume: 111, Issue: 1, page 77-112
  • ISSN: 0020-9910; 1432-1297/e

How to cite


Hodgson, Craig D., and Rivin, Igor. "A characterization of compact convex polyhedra in hyperbolic 3-space.." Inventiones mathematicae 111.1 (1993): 77-112. <http://eudml.org/doc/144071>.

author = {Hodgson, Craig D., Rivin, Igor},
journal = {Inventiones mathematicae},
keywords = {survey; compact convex polyhedra; hyperbolic 3-space},
number = {1},
pages = {77-112},
title = {A characterization of compact convex polyhedra in hyperbolic 3-space.},
url = {http://eudml.org/doc/144071},
volume = {111},
year = {1993},

AU - Hodgson, Craig D.
AU - Rivin, Igor
TI - A characterization of compact convex polyhedra in hyperbolic 3-space.
JO - Inventiones mathematicae
PY - 1993
VL - 111
IS - 1
SP - 77
EP - 112
KW - survey; compact convex polyhedra; hyperbolic 3-space
UR - http://eudml.org/doc/144071
ER -

Citations in EuDML Documents

  1. Xiliang Bao, Francis Bonahon, Hyperideal polyhedra in hyperbolic 3-space
  2. Jean-Marc Schlenker, Réalisations de surfaces hyperboliques complètes dans H 3
  3. Mathias Rousset, Sur la rigidité de polyèdres hyperboliques en dimension  3 : cas de volume fini, cas hyperidéal, cas fuchsien
  4. François Fillastre, Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces
  5. Roland K.W. Roeder, John H. Hubbard, William D. Dunbar, Andreev’s Theorem on hyperbolic polyhedra
  6. Jean-Marc Schlenker, Des immersions isométriques de surfaces aux variétés hyperboliques à bord convexe
  7. Michel Boileau, Uniformisation en dimension trois
  8. Jean-Marc Schlenker, La conjecture des soufflets

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