Concepedia

Geometric Flows

Geometric Flows is a mathematical framework within differential and Riemannian geometry that describes the evolution of geometric structures, such as metrics or embeddings, over a manifold through a system of partial differential equations, typically governed by curvature-driven processes.

312

Publications

16.9K

Citations

461

Authors

281

Institutions

Publications per year

2017–2026

65

Parents

Publications

312

Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms

Mirza Faisal Beg, Michael I. Miller, Alain Trouvé et al. · International Journal of Computer Vision · 2004 · 1.7K citations

, , +12

Partial Differential Equations

Steve Abbott, Lawrence C. Evans · The Mathematical Gazette · 1999 · 1.4K citations

, , +15

Notes on Perelman’s papers

2006 · 537 citations

, , +14

Partial differential equations

ThomasL. Satty · Computers & Mathematics with Applications · 1985 · 415 citations

, , +15

A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow

Huai-Dong Cao, Xi-Ping Zhu · Asian Journal of Mathematics · 2006 · 392 citations · Full text

, , +10

1–5 of 312

Authors

461

  1. BA
    Ben Andrews

    Australian National University, Australia

    7 publications · 595 citations

    7

    h-index

  2. KL
    Kefeng Liu

    University of California, Los Angeles, United States

    6 publications · 178 citations

    6

    h-index

  3. GH
    Gerhard Huisken

    Max Planck Society, Germany

    4 publications · 386 citations

    4

    h-index

  4. DK
    De-Xing Kong

    Zhejiang University, China

    4 publications · 143 citations

    4

    h-index

  5. GL
    Guanghan Li

    Hubei University, China

    4 publications · 65 citations

    4

    h-index

1–5 of 461

Institutions

281

  1. Stanford University

    Stanford, United States

    10 h-index

    13 publications

    497 citations

  2. Zhejiang University

    Hangzhou, China

    10 h-index

    20 publications

    494 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    14 publications

    432 citations

  4. Australian National University

    Canberra, Australia

    10 h-index

    13 publications

    776 citations

  5. École Polytechnique

    Palaiseau, France

    7 h-index

    11 publications

    487 citations

  6. Columbia University

    New York, United States

    6 h-index

    8 publications

    357 citations

  7. University of California, Los Angeles

    Los Angeles, United States

    6 h-index

    6 publications

    167 citations

  8. Chinese Academy of Sciences

    Beijing, China

    6 h-index

    8 publications

    171 citations

1–8 of 281

Venues

  1. 14

    h-index

  2. arXiv (Cornell University)

    Repository · 13 publications · 284 citations

    11

    h-index

  3. Journal of Differential Geometry

    10 publications · 703 citations

    10

    h-index

  4. Pacific Journal of Mathematics

    8 publications · 324 citations

    8

    h-index

  5. Inventiones mathematicae

    8 publications · 685 citations

    8

    h-index

1–5