Concepedia

Kähler Geometry

Kähler Geometry is a branch of differential geometry that studies complex manifolds equipped with a Kähler metric, distinguished by the compatibility of its Riemannian metric, symplectic form, and integrable complex structure, yielding a closed fundamental form.

2.4K

Publications

114.5K

Citations

1.9K

Authors

801

Institutions

Publications per year

2017–2026

339

Parents

Publications

2.4K

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

Hyperkähler metrics and supersymmetry

Nigel Hitchin, A. Karlhede, Ulf Lindström et al. · Communications in Mathematical Physics · 1987 · 1K citations

, , +12

Real homotopy theory of K�hler manifolds

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

, , +10

Calabi's conjecture and some new results in algebraic geometry

Shing–Tung Yau · Proceedings of the National Academy of Sciences · 1977 · 798 citations · Full text

, , +15

Universality class in conformal inflation

Andrei Linde · Journal of Cosmology and Astroparticle Physics · 2013 · 699 citations · Full text

, , +12

1–5 of 2.4K

Authors

1.9K

  1. GT
    Gang Tian

    Princeton University, United States

    39 publications · 3.6K citations

    24

    h-index

  2. SY
    Shing–Tung Yau

    Harvard University, United States

    28 publications · 5.1K citations

    22

    h-index

  3. XC
    Xiuxiong Chen

    Stony Brook University, United States

    33 publications · 1.9K citations

    22

    h-index

  4. BW
    Ben Weinkove

    Northwestern University, United States

    26 publications · 1K citations

    19

    h-index

  5. MV
    Misha Verbitsky

    National Research University Higher School of Economics, Russia

    26 publications · 1K citations

    18

    h-index

1–5 of 1.9K

Institutions

801

  1. Stony Brook University

    Stony Brook, United States

    31 h-index

    75 publications

    6.2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    31 h-index

    85 publications

    4K citations

  3. Princeton University

    Princeton, United States

    30 h-index

    49 publications

    3.1K citations

  4. Imperial College London

    London, United Kingdom

    26 h-index

    47 publications

    5.9K citations

  5. European Organization for Nuclear Research

    Geneva, Switzerland

    26 h-index

    47 publications

    3.4K citations

  6. Columbia University

    New York, United States

    25 h-index

    46 publications

    3.1K citations

  7. Kyoto University

    Kyoto, Japan

    23 h-index

    48 publications

    2.3K citations

  8. University of Cambridge

    Cambridge, United Kingdom

    23 h-index

    46 publications

    2.6K citations

1–8 of 801

Venues

  1. Journal of Differential Geometry

    105 publications · 9.6K citations

    52

    h-index

  2. Journal of High Energy Physics

    JHEP · 121 publications · 4.6K citations

    39

    h-index

  3. Communications in Mathematical Physics

    64 publications · 5.6K citations

    38

    h-index

  4. Inventiones mathematicae

    52 publications · 6.3K citations

    36

    h-index

  5. ArXiv.org

    Repository · 128 publications · 5K citations

    34

    h-index

1–5