Concepedia

Ricci Flow

Ricci Flow is a geometric evolution equation that deforms the metric of a Riemannian manifold in a manner analogous to the diffusion of heat, with the rate of change of the metric tensor proportional to the negative of the Ricci curvature tensor.

1.1K

Publications

52.7K

Citations

1.1K

Authors

596

Institutions

Publications per year

2017–2026

224

Parents

Publications

1.1K

Three-manifolds with positive Ricci curvature

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

, , +17

On an iterative technique for Riccati equation computations

David L. Kleinman · IEEE Transactions on Automatic Control · 1968 · 1.2K citations

, , +8

On a Matrix Riccati Equation of Stochastic Control

W.M. Wonham · SIAM Journal on Control · 1968 · 1K citations

, , +13

Ricci flow with surgery on three-manifolds

Grisha Perelman · ArXiv.org · 2003 · 992 citations · Full text

, , +14

Ricci curvature of Markov chains on metric spaces

Yann Ollivier · Journal of Functional Analysis · 2008 · 746 citations

, , +14

1–5 of 1.1K

Authors

1.1K

  1. XG
    Xianfeng Gu

    Stony Brook University, United States

    25 publications · 1.1K citations

    16

    h-index

  2. GT
    Gang Tian

    Princeton University, United States

    22 publications · 1.3K citations

    16

    h-index

  3. JS
    Jian Song

    Rutgers, The State University of New Jersey, United States

    21 publications · 593 citations

    16

    h-index

  4. SB
    Simon Brendle

    Stanford University, United States

    21 publications · 738 citations

    15

    h-index

  5. NŠ
    Nataša Šešum

    Columbia University, United States

    21 publications · 732 citations

    15

    h-index

1–5 of 1.1K

Institutions

596

  1. Stony Brook University

    Stony Brook, United States

    24 h-index

    80 publications

    4.7K citations

  2. Columbia University

    New York, United States

    20 h-index

    49 publications

    2K citations

  3. Rutgers, The State University of New Jersey

    New Brunswick, United States

    20 h-index

    47 publications

    2.2K citations

  4. University of California San Diego

    San Diego, United States

    18 h-index

    31 publications

    1.8K citations

  5. Princeton University

    Princeton, United States

    17 h-index

    24 publications

    1.2K citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    16 h-index

    20 publications

    1K citations

  7. Courant Institute of Mathematical Sciences

    New York, United States

    16 h-index

    19 publications

    1.3K citations

  8. University of California, Berkeley

    Berkeley, United States

    15 h-index

    21 publications

    486 citations

1–8 of 596

Venues

  1. Journal of Differential Geometry

    35 publications · 7.1K citations

    27

    h-index

  2. Communications in Analysis and Geometry

    CAG · 42 publications · 2.1K citations

    27

    h-index

  3. arXiv (Cornell University)

    Repository · 74 publications · 1.7K citations

    21

    h-index

  4. Inventiones mathematicae

    22 publications · 2.2K citations

    18

    h-index

  5. ArXiv.org

    Repository · 46 publications · 2.9K citations

    18

    h-index

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