Concepedia

Hermitian Geometry

Hermitian Geometry is a branch of differential geometry that studies complex manifolds equipped with a Hermitian metric, which is a smoothly varying positive-definite sesquilinear form on the holomorphic tangent bundle, thereby distinguishing it from other geometric structures on complex manifolds by the compatibility of its metric with the underlying complex structure.

699

Publications

29.3K

Citations

788

Authors

459

Institutions

Publications per year

2017–2026

101

Parents

Publications

699

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

Barry Simon · Physical Review Letters · 1983 · 1.9K citations

, , +9

The sixteen classes of almost Hermitian manifolds and their linear invariants

Alfred Gray, Luis Hervella · Annali di Matematica Pura ed Applicata (1923 -) · 1980 · 796 citations

, , +14

Geometrical description of quantal state determination

I D Ivonovic · Journal of Physics A Mathematical and General · 1981 · 733 citations

, , +13

Generalized complex geometry

Marco Gualtieri · Annals of Mathematics · 2011 · 594 citations · Full text

, , +13

Pseudo-Hermitian structures on a real hypersurface

S. M. Webster · Journal of Differential Geometry · 1978 · 557 citations · Full text

, , +11

1–5 of 699

Authors

788

  1. BŞ
    Bayram Şahin

    Inonu University, Türkiye

    13 publications · 659 citations

    13

    h-index

  2. XY
    Xiaokui Yang

    Chinese Academy of Sciences, China

    10 publications · 391 citations

    10

    h-index

  3. AC
    Antonio Cossidente

    University of Basilicata, Italy

    9 publications · 274 citations

    9

    h-index

  4. FZ
    Fangyang Zheng

    The Ohio State University, United States

    8 publications · 287 citations

    8

    h-index

  5. VA
    Vestislav Apostolov

    Université du Québec à Montréal, Canada

    8 publications · 281 citations

    8

    h-index

1–5 of 788

Institutions

459

  1. University of Basilicata

    Potenza, Italy

    13 h-index

    20 publications

    511 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    14 publications

    580 citations

  3. École Polytechnique

    Palaiseau, France

    11 h-index

    14 publications

    594 citations

  4. The Ohio State University

    Columbus, United States

    10 h-index

    12 publications

    431 citations

  5. Chinese Academy of Sciences

    Beijing, China

    10 h-index

    11 publications

    341 citations

  6. Ghent University

    Ghent, Belgium

    10 h-index

    21 publications

    620 citations

  7. Inonu University

    Malatya, Türkiye

    9 h-index

    10 publications

    593 citations

  8. Academy of Mathematics and Systems Science

    Beijing, China

    9 h-index

    9 publications

    281 citations

1–8 of 459

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 26 publications · 1.3K citations

    20

    h-index

  2. Journal of Differential Geometry

    20 publications · 1.2K citations

    16

    h-index

  3. arXiv (Cornell University)

    Repository · 26 publications · 499 citations

    15

    h-index

  4. ArXiv.org

    Repository · 25 publications · 688 citations

    15

    h-index

  5. Differential Geometry and its Applications

    13 publications · 475 citations

    12

    h-index

1–5