Concepedia

Complex Geometry

Complex Geometry is a branch of mathematics that studies geometric structures and phenomena arising from complex manifolds and holomorphic functions, distinguished by its focus on spaces endowed with complex-analytic structure.

11.5K

Publications

521.1K

Citations

9.3K

Authors

2.1K

Institutions

Publications per year

2017–2026

993

Parents

Children

Publications

11.5K

Completely positive linear maps on complex matrices

Man-Duen Choi · Linear Algebra and its Applications · 1975 · 2.7K citations

, , +7

On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I

Shing‐Tung Yau · Communications on Pure and Applied Mathematics · 1978 · 2.5K citations

, , +13

Noncommutative Geometry

Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports · 2010 · 2.3K citations

, , +17

Harmonic Mappings of Riemannian Manifolds

James Eells, J. H. Sampson · American Journal of Mathematics · 1964 · 2.2K citations

, , +8

Pseudo holomorphic curves in symplectic manifolds

M. Gromov · Inventiones mathematicae · 1985 · 2.1K citations

, , +10

1–5 of 11.5K

Authors

9.3K

  1. BC
    Bang‐Yen Chen

    Michigan State University, United States

    63 publications · 3K citations

    29

    h-index

  2. YJ
    Young Jin Suh

    Kyungpook National University, South Korea

    51 publications · 1.7K citations

    26

    h-index

  3. SY
    Shing–Tung Yau

    Harvard University, United States

    45 publications · 6.1K citations

    24

    h-index

  4. MS
    M. S. Baouendi

    University of California San Diego, United States

    27 publications · 1.4K citations

    23

    h-index

  5. SK
    Shôshichi Kobayashi

    University of California System, United States

    34 publications · 2.4K citations

    22

    h-index

1–5 of 9.3K

Institutions

2.1K

  1. Princeton University

    Princeton, United States

    52 h-index

    159 publications

    14.5K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    50 h-index

    302 publications

    11.4K citations

  3. University of California, Berkeley

    Berkeley, United States

    44 h-index

    145 publications

    17.3K citations

  4. Stony Brook University

    Stony Brook, United States

    42 h-index

    157 publications

    10.1K citations

  5. Harvard University

    Cambridge, United States

    41 h-index

    112 publications

    11.9K citations

  6. Kyoto University

    Kyoto, Japan

    41 h-index

    133 publications

    5.8K citations

  7. Stanford University

    Stanford, United States

    40 h-index

    130 publications

    13.8K citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    39 h-index

    95 publications

    6.6K citations

1–8 of 2.1K

Venues

  1. Annals of Mathematics

    240 publications · 31.1K citations

    93

    h-index

  2. Journal of Differential Geometry

    282 publications · 21.3K citations

    78

    h-index

  3. Inventiones mathematicae

    181 publications · 17.3K citations

    64

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 457 publications · 19.2K citations

    63

    h-index

  5. American Journal of Mathematics

    157 publications · 12.3K citations

    52

    h-index

1–5