Concepedia

Non-euclidean Geometry

Non-Euclidean Geometry is a branch of geometry that investigates axiomatic systems for spaces in which the Euclidean parallel postulate (and hence the standard Euclidean axiom set) is replaced or altered, thereby giving rise to hyperbolic, elliptic, and related non-Euclidean geometrical structures.

406

Publications

23.5K

Citations

552

Authors

321

Institutions

Publications per year

2017–2026

48

Variants

Non Euclidean GeometryNon-euclidean Geometries

Parents

Children

Publications

406

Geometric Deep Learning on Graphs and Manifolds Using Mixture Model CNNs

Federico Monti, Davide Boscaini, Jonathan Masci et al. · 2017 · 1.9K citations

, , +14

Noncommutative Geometry and Matrix Theory: Compactification on Tori

Alain Connes, Michael R. Douglas, Albert Schwarz · arXiv (Cornell University) · 1997 · 1.3K citations · Full text

, , +14

Classical physics as geometry

Charles W. Misner, John Wheeler · Annals of Physics · 1957 · 1.2K citations

, , +11

Axioms for Euclidean Green's functions

Konrad Osterwalder, Robert Schrader · Communications in Mathematical Physics · 1973 · 913 citations

, , +9

Noncommutative geometry and reality

Alain Connes · Journal of Mathematical Physics · 1995 · 566 citations · Full text

, , +14

1–5 of 406

Authors

552

  1. AC
    Alain Connes

    Institut des Hautes Études Scientifiques, France

    7 publications · 3K citations

    7

    h-index

  2. FL
    Fedele Lizzi

    Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Italy

    4 publications · 113 citations

    4

    h-index

  3. VD
    Vincenzo De Risi

    Max Planck Institute for the History of Science, Germany

    3 publications · 92 citations

    3

    h-index

  4. DB
    Davide Boscaini

    Università della Svizzera italiana, Switzerland

    3 publications · 1.9K citations

    3

    h-index

  5. HS
    H. S. M. Coxeter

    University of Toronto, Canada

    3 publications · 88 citations

    3

    h-index

1–5 of 552

Institutions

321

  1. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    15 publications

    382 citations

  2. Institut des Hautes Études Scientifiques

    Bures-sur-Yvette, France

    6 h-index

    8 publications

    5.6K citations

  3. Hebrew University of Jerusalem

    Jerusalem, Israel

    6 h-index

    9 publications

    613 citations

  4. Laboratoire de Physique Théorique et Hautes Energies

    Paris, France

    6 h-index

    6 publications

    541 citations

  5. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli

    Naples, Italy

    6 h-index

    12 publications

    368 citations

  6. Max Planck Institute for Physics

    Munich, Germany

    5 h-index

    11 publications

    624 citations

  7. Centre de Physique Théorique

    Marseille, France

    5 h-index

    11 publications

    261 citations

  8. Ludwig-Maximilians-Universität München

    Munich, Germany

    5 h-index

    10 publications

    600 citations

1–8 of 321

Venues

  1. Physics Letters B

    12 publications · 499 citations

    11

    h-index

  2. American Mathematical Monthly

    11 publications · 394 citations

    10

    h-index

  3. ArXiv.org

    Repository · 8 publications · 149 citations

    8

    h-index

  4. Nature

    8 publications · 257 citations

    8

    h-index

  5. Journal of High Energy Physics

    JHEP · 8 publications · 607 citations

    8

    h-index

1–5