Concepedia

Riemannian Geometry

Riemannian Geometry is a branch of differential geometry that studies smooth manifolds equipped with a Riemannian metric, enabling the measurement of angles, lengths, and volumes through a positive-definite inner product on tangent spaces.

16K

Publications

785.8K

Citations

11.7K

Authors

2.7K

Institutions

Publications per year

2017–2026

1.9K

Parents

Children

Publications

16K

Differential geometry of curves and surfaces

Choice Reviews Online · 2011 · 3.8K citations

, , +11

Three-manifolds with positive Ricci curvature

Richard S. Hamilton · Journal of Differential Geometry · 1982 · 3K citations · Full text

, , +17

The Einstein Tensor and Its Generalizations

David Lovelock · Journal of Mathematical Physics · 1971 · 2.9K citations · Full text

, , +14

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

Harmonic Mappings of Riemannian Manifolds

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

, , +8

1–5 of 16K

Authors

11.7K

  1. BC
    Bang‐Yen Chen

    Michigan State University, United States

    124 publications · 5.7K citations

    37

    h-index

  2. SY
    Shing–Tung Yau

    Harvard University, United States

    51 publications · 8.9K citations

    33

    h-index

  3. ZS
    Zhongmin Shen

    Indiana University – Purdue University Indianapolis, United States

    52 publications · 2.9K citations

    32

    h-index

  4. JC
    Jeff Cheeger

    Courant Institute of Mathematical Sciences, United States

    42 publications · 9.3K citations

    31

    h-index

  5. GT
    Gang Tian

    Princeton University, United States

    46 publications · 4.2K citations

    27

    h-index

1–5 of 11.7K

Institutions

2.7K

  1. Centre National de la Recherche Scientifique

    Paris, France

    60 h-index

    452 publications

    24.9K citations

  2. Stanford University

    Stanford, United States

    56 h-index

    198 publications

    20.8K citations

  3. University of California, Berkeley

    Berkeley, United States

    53 h-index

    165 publications

    14.4K citations

  4. Stony Brook University

    Stony Brook, United States

    52 h-index

    179 publications

    14.6K citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    51 h-index

    166 publications

    21K citations

  6. Princeton University

    Princeton, United States

    50 h-index

    175 publications

    14K citations

  7. Courant Institute of Mathematical Sciences

    New York, United States

    47 h-index

    106 publications

    10.4K citations

  8. Michigan State University

    East Lansing, United States

    43 h-index

    167 publications

    8.7K citations

1–8 of 2.7K

Venues

  1. Journal of Differential Geometry

    585 publications · 54.9K citations

    114

    h-index

  2. Annals of Mathematics

    251 publications · 41.5K citations

    107

    h-index

  3. Inventiones mathematicae

    208 publications · 19.5K citations

    80

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 415 publications · 20.9K citations

    72

    h-index

  5. Duke Mathematical Journal

    DMJ · 199 publications · 13.9K citations

    65

    h-index

1–5