Concepedia

Comparison Geometry

Comparison Geometry is a branch of Riemannian Geometry that studies the global structure and geometric properties of Riemannian manifolds by comparing them to model spaces of constant curvature through curvature bounds and metric constraints.

13

Publications

809

Citations

19

Authors

9

Institutions

Publications per year

2017–2026

3

Parents

Publications

13

Comparison geometry for the Bakry-Emery Ricci tensor

Guofang Wei, William Wylie · Journal of Differential Geometry · 2009 · 597 citations · Full text

, , +13

Comparison Geometry for the Smooth Metric Measure Spaces

Guofang Wei, William Wylie · 2007 · 40 citations

, , +17

Comparison Geometry with Integral Curvature Bounds

P A Peterson, Semion Shteingold, Guofang Wei · Geometric and Functional Analysis · 1997 · 25 citations

, , +12

Comparison Geometry for Integral Bakry–Émery Ricci Tensor Bounds

Jia-Yong Wu · Journal of Geometric Analysis · 2018 · 19 citations

, , +12

Comparison Geometry for the Bakry-Emery Ricci Tensor

Guofang Wei, William Wylie · arXiv (Cornell University) · 2007 · 19 citations · Full text

, , +13

1–5 of 13

Authors

19

  1. GW
    Guofang Wei

    University of California, Santa Barbara, United States

    5 publications · 697 citations

    5

    h-index

  2. WW
    William Wylie

    Syracuse University, United States

    3 publications · 656 citations

    3

    h-index

  3. PG
    Pengfei Guan

    McGill University, Canada

    1 publications · 12 citations

    1

    h-index

  4. RS
    Roland Steinbauer

    University of Vienna, Austria

    1 publications · 12 citations

    1

    h-index

  5. RJ
    Ronghuan Jiang

    Beijing Normal University, China

    1 publications · 12 citations

    1

    h-index

1–5 of 19

Institutions

9

  1. University of California, Santa Barbara

    Santa Barbara, United States

    3 h-index

    3 publications

    662 citations

  2. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    4 publications

    687 citations

  3. Tohoku University

    Sendai, Japan

    1 h-index

    1 publications

    12 citations

  4. Beijing Normal University

    Beijing, China

    1 h-index

    1 publications

    12 citations

  5. Shanghai Maritime University

    Shanghai, China

    1 h-index

    1 publications

    19 citations

  6. Shenzhen Technology University

    Shenzhen, China

    1 h-index

    1 publications

    12 citations

  7. Max Planck Institute for Biophysical Chemistry

    Göttingen, Germany

    1 h-index

    1 publications

    12 citations

  8. Shenzhen University

    Shenzhen, China

    1 h-index

    3 publications

    36 citations

1–8 of 9

Venues

  1. arXiv (Cornell University)

    Repository · 2 publications · 31 citations

    2

    h-index

  2. Pacific Journal of Mathematics

    1 publications · 17 citations

    1

    h-index

  3. Journal of Experimental Child Psychology

    JECP · 1 publications · 12 citations

    1

    h-index

  4. Journal of Geometric Analysis

    1 publications · 19 citations

    1

    h-index

  5. Journal of Differential Geometry

    1 publications · 597 citations

    1

    h-index

1–5