Concepedia

Elliptic Geometry

Elliptic Geometry is a type of non-Euclidean geometry characterized by the absence of parallel lines and the positive curvature of space, in which the parallel postulate is replaced by the assertion that through a point not on a given line, no parallel line exists.

927

Publications

42.5K

Citations

1.4K

Authors

626

Institutions

Publications per year

2017–2026

115

Parents

Publications

927

The Index of Elliptic Operators: I

Michael Atiyah, I. M. Singer · Annals of Mathematics · 1968 · 1.2K citations

, , +8

The index of elliptic operators on compact manifolds

Michael Atiyah, I. M. Singer · Bulletin of the American Mathematical Society · 1963 · 694 citations · Full text

, , +8

Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem

Hélène Airault, H. P. McKean, J. Moser · Communications on Pure and Applied Mathematics · 1977 · 556 citations

, , +15

Hardy Inequalities and Some Critical Elliptic and Parabolic Problems

J.P. Garcı́a Azorero · Journal of Differential Equations · 1998 · 553 citations

, , +10

Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients

K. A. Cliffe, Michael B. Giles, Robert Scheichl et al. · Computing and Visualization in Science · 2011 · 516 citations

, , +15

1–5 of 927

Authors

1.4K

  1. SY
    Shusen Yan

    University of New England, Australia

    10 publications · 334 citations

    10

    h-index

  2. MA
    Michael Atiyah

    Mathematical Institute of the Slovak Academy of Sciences, Slovakia

    8 publications · 3.3K citations

    8

    h-index

  3. MV
    Michèle Vergne

    École Polytechnique, France

    8 publications · 173 citations

    8

    h-index

  4. JY
    Jianfu Yang

    Jiangxi Normal University, China

    6 publications · 197 citations

    6

    h-index

  5. EN
    E. N. Dancer

    The University of Sydney, Australia

    5 publications · 135 citations

    5

    h-index

1–5 of 1.4K

Institutions

626

  1. Centre National de la Recherche Scientifique

    Paris, France

    18 h-index

    42 publications

    1.3K citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    15 h-index

    30 publications

    2.1K citations

  3. Harvard University

    Cambridge, United States

    10 h-index

    13 publications

    579 citations

  4. Université Paris-Sud

    Orsay, France

    10 h-index

    13 publications

    1.8K citations

  5. University of Oxford

    Oxford, United Kingdom

    10 h-index

    12 publications

    1.3K citations

  6. University of Bonn

    Bonn, Germany

    10 h-index

    17 publications

    581 citations

  7. Max Planck Institute for Mathematics

    Bonn, Germany

    9 h-index

    11 publications

    392 citations

  8. Chinese Academy of Sciences

    Beijing, China

    8 h-index

    11 publications

    453 citations

1–8 of 626

Venues

  1. Journal of Differential Equations

    31 publications · 1.8K citations

    20

    h-index

  2. arXiv (Cornell University)

    Repository · 25 publications · 543 citations

    15

    h-index

  3. Journal of High Energy Physics

    JHEP · 15 publications · 626 citations

    14

    h-index

  4. ArXiv.org

    Repository · 25 publications · 668 citations

    14

    h-index

  5. Pacific Journal of Mathematics

    13 publications · 407 citations

    13

    h-index

1–5