Concepedia

Hyperbolic 3-Manifolds

Hyperbolic 3-Manifolds is a smooth 3-manifold endowed with a complete Riemannian metric of constant negative sectional curvature, distinguished within the class of geometric 3-manifolds by admitting a finite-volume hyperbolic structure modeled on hyperbolic 3-space ℍ³.

906

Publications

36.4K

Citations

804

Authors

456

Institutions

Publications per year

2017–2026

90

Parents

Publications

906

Three dimensional manifolds, Kleinian groups and hyperbolic geometry

William P. Thurston · Bulletin of the American Mathematical Society · 1982 · 1.4K citations · Full text

, , +15

Volumes of hyperbolic three-manifolds

Walter D. Neumann, Don Zagier · Topology · 1985 · 425 citations

, , +5

Stability of the Homology of the Mapping Class Groups of Orientable Surfaces

John Harer · Annals of Mathematics · 1985 · 411 citations

, , +16

Calabi-Yau algebras

Victor Ginzburg · ArXiv.org · 2006 · 404 citations · Full text

, , +17

Hyperbolic Structures on 3-Manifolds I: Deformation of Acylindrical Manifolds

William P. Thurston · Annals of Mathematics · 1986 · 320 citations

, , +11

1–5 of 906

Authors

804

  1. AW
    Alan W. Reid

    The University of Texas at Austin, United States

    22 publications · 892 citations

    18

    h-index

  2. RD
    Richard D. Canary

    University of Michigan, United States

    18 publications · 1.1K citations

    16

    h-index

  3. MU
    Masaaki Umehara

    The University of Osaka, Japan

    14 publications · 910 citations

    13

    h-index

  4. CA
    Colin Adams

    Williams College, United States

    16 publications · 530 citations

    13

    h-index

  5. PB
    Peter B. Shalen

    University of Illinois Chicago, United States

    15 publications · 587 citations

    13

    h-index

1–5 of 804

Institutions

456

  1. Centre National de la Recherche Scientifique

    Paris, France

    18 h-index

    43 publications

    1.9K citations

  2. The University of Texas at Austin

    Austin, United States

    17 h-index

    35 publications

    1.1K citations

  3. University of Michigan

    Ann Arbor, United States

    17 h-index

    30 publications

    1.1K citations

  4. University of California, Santa Barbara

    Santa Barbara, United States

    15 h-index

    26 publications

    1.1K citations

  5. The University of Melbourne

    Melbourne, Australia

    15 h-index

    35 publications

    1.4K citations

  6. University of Pisa

    Pisa, Italy

    14 h-index

    25 publications

    844 citations

  7. Yale University

    New Haven, United States

    13 h-index

    17 publications

    889 citations

  8. Princeton University

    Princeton, United States

    13 h-index

    22 publications

    1.2K citations

1–8 of 456

Venues

  1. Journal of Differential Geometry

    54 publications · 2.2K citations

    27

    h-index

  2. Annals of Mathematics

    25 publications · 3.5K citations

    24

    h-index

  3. Geometry & Topology

    43 publications · 1.4K citations

    23

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 28 publications · 1.1K citations

    19

    h-index

  5. Duke Mathematical Journal

    DMJ · 27 publications · 817 citations

    17

    h-index

1–5