Concepedia

Complex Differential Geometry

Complex Differential Geometry is a branch of differential geometry that studies smooth manifolds endowed with complex structures, distinguished by the integration of holomorphic functions and Hermitian metrics to analyze geometric properties invariant under biholomorphic transformations.

3K

Publications

141.5K

Citations

2.7K

Authors

959

Institutions

Publications per year

2017–2026

244

Parents

Publications

3K

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

Pseudo holomorphic curves in symplectic manifolds

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

, , +10

Real hypersurfaces in complex manifolds

Shiing-Shen Chern, Jürgen Moser · Acta Mathematica · 1974 · 1.1K citations · Full text

, , +8

A ghost-cell immersed boundary method for flow in complex geometry

Yu‐Heng Tseng, Joel H. Ferziger · Journal of Computational Physics · 2003 · 813 citations

, , +7

Real homotopy theory of K�hler manifolds

Pierre Deligne, Phillip Griffiths, John Morgan et al. · Inventiones mathematicae · 1975 · 798 citations

, , +10

1–5 of 3K

Authors

2.7K

  1. YJ
    Young Jin Suh

    Kyungpook National University, South Korea

    36 publications · 1.1K citations

    20

    h-index

  2. BC
    Bang‐Yen Chen

    Michigan State University, United States

    35 publications · 1.1K citations

    20

    h-index

  3. MS
    M. S. Baouendi

    University of California San Diego, United States

    22 publications · 1.1K citations

    18

    h-index

  4. SY
    Shing–Tung Yau

    Harvard University, United States

    23 publications · 4.5K citations

    18

    h-index

  5. FF
    Franc Forstnerič

    Institute of Mathematics, Physics, and Mechanics, Slovenia

    26 publications · 1.1K citations

    17

    h-index

1–5 of 2.7K

Institutions

959

  1. Princeton University

    Princeton, United States

    27 h-index

    45 publications

    5.3K citations

  2. University of California San Diego

    San Diego, United States

    27 h-index

    57 publications

    4.5K citations

  3. Stony Brook University

    Stony Brook, United States

    26 h-index

    48 publications

    2.8K citations

  4. Michigan State University

    East Lansing, United States

    23 h-index

    49 publications

    1.9K citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    23 h-index

    61 publications

    2.2K citations

  6. Kyungpook National University

    Daegu, South Korea

    19 h-index

    52 publications

    1.3K citations

  7. Columbia University

    New York, United States

    19 h-index

    32 publications

    3.7K citations

  8. University of California, Berkeley

    Berkeley, United States

    18 h-index

    35 publications

    5.3K citations

1–8 of 959

Venues

  1. Journal of Differential Geometry

    99 publications · 8.1K citations

    46

    h-index

  2. Annals of Mathematics

    67 publications · 8.7K citations

    42

    h-index

  3. Inventiones mathematicae

    83 publications · 10K citations

    41

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 110 publications · 4.8K citations

    36

    h-index

  5. Mathematische Annalen

    91 publications · 3.9K citations

    34

    h-index

1–5