Concepedia

Hyperbolic Polyhedra

Hyperbolic Polyhedra is a geometric construct consisting of a finite union of hyperbolic polygons, joined along their edges in three-dimensional hyperbolic space, such that the induced metric is piecewise hyperbolic and the link of each vertex is a spherical polyhedron, thereby distinguishing it from Euclidean or spherical polyhedra by its intrinsic negative curvature and realization within hyperbolic 3-space.

80

Publications

3.1K

Citations

86

Authors

72

Institutions

Publications per year

2017–2026

8

Parents

Publications

80

Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume

Igor Rivin · Annals of Mathematics · 1994 · 257 citations

, , +11

On a remarkable class of polyhedra in complex hyperbolic space

G. D. Mostow · Pacific Journal of Mathematics · 1980 · 208 citations · Full text

, , +12

A Characterization of Ideal Polyhedra in Hyperbolic 3-Space

Igor Rivin · Annals of Mathematics · 1996 · 166 citations

, , +9

A characterization of compact convex polyhedra in hyperbolic 3-space

Craig D. Hodgson, Igor Rivin · Inventiones mathematicae · 1993 · 154 citations

, , +9

On the rigidity of discrete isometry groups of negatively curved spaces

Sa’ar Hersonsky · Commentarii Mathematici Helvetici · 1997 · 101 citations · Full text

, , +16

1–5 of 80

Authors

86

  1. FF
    François Fillastre

    CY Cergy Paris Université, France

    5 publications · 78 citations

    5

    h-index

  2. IR
    Igor Rivin

    Temple University, United States

    5 publications · 695 citations

    5

    h-index

  3. AM
    Alexander Mednykh

    Sobolev Institute of Mathematics, Russia

    4 publications · 72 citations

    4

    h-index

  4. FL
    Feng Luo

    Rutgers, The State University of New Jersey, United States

    4 publications · 178 citations

    4

    h-index

  5. JS
    Jean‐Marc Schlenker

    Université Toulouse III - Paul Sabatier, France

    4 publications · 98 citations

    4

    h-index

1–5 of 86

Institutions

72

  1. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    5 publications

    108 citations

  2. CY Cergy Paris Université

    Cergy-Pontoise, France

    4 h-index

    4 publications

    61 citations

  3. Princeton University

    Princeton, United States

    3 h-index

    5 publications

    397 citations

  4. University of Fribourg

    Fribourg, Switzerland

    3 h-index

    3 publications

    39 citations

  5. Independent University of Moscow

    Moscow, Russia

    3 h-index

    4 publications

    69 citations

  6. Technische Universität Berlin

    Berlin, Germany

    3 h-index

    5 publications

    321 citations

  7. Rutgers, The State University of New Jersey

    New Brunswick, United States

    3 h-index

    3 publications

    146 citations

  8. Université Toulouse III - Paul Sabatier

    Toulouse, France

    2 h-index

    2 publications

    66 citations

1–8 of 72

Venues

  1. Algebraic & Geometric Topology

    AGT · 4 publications · 81 citations

    4

    h-index

  2. Journal of Differential Geometry

    3 publications · 179 citations

    3

    h-index

  3. Commentarii Mathematici Helvetici

    CMH · 3 publications · 192 citations

    3

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 3 publications · 79 citations

    3

    h-index

  5. Geometriae Dedicata

    3 publications · 52 citations

    3

    h-index

1–5