© 2012

Metric and Differential Geometry

The Jeff Cheeger Anniversary Volume

  • Xianzhe Dai
  • Xiaochun Rong
  • Original research papers and survey articles by distinguished experts in their fields

  • Broad range of topics in metric and differential geometry, focusing on the most recent advances

  • Dedicated to the 65th birthday of Jeff Cheeger, a world leader in metric and differential geometry

Conference proceedings

Part of the Progress in Mathematics book series (PM, volume 297)

Table of contents

  1. Front Matter
    Pages i-xlviii
  2. Differential Geometry

    1. Front Matter
      Pages 1-1
    2. Xiuxiong Chen, Song Sun
      Pages 19-41
    3. F. Reese Harvey, H. Blaine Lawson Jr.
      Pages 43-89
    4. Christina Sormani
      Pages 91-117
  3. Metric Geometry

    1. Front Matter
      Pages 161-161
  4. Index Theory

    1. Front Matter
      Pages 179-179
    2. Jean-Michel Bismut
      Pages 181-232
    3. Xianzhe Dai, Richard B. Melrose
      Pages 233-298
    4. Xiaonan Ma, Weiping Zhang
      Pages 299-315
    5. James Simons, Dennis Sullivan
      Pages 353-361

About these proceedings


Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions in this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, and hypoelliptic Laplacian and analytic torsion. The book includes papers on the most recent advances as well as survey articles on new developments.


M.T. Anderson

J.-M. Bismut

X. Chen

X. Dai

R. Harvey

P. Koskela

B. Lawson

X. Ma

R. Melrose

W. Müller

A. Naor

J. Simons

C. Sormani

D. Sullivan

S. Sun

G. Tian

K. Wildrick

W. Zhang


K-theory in geometry distance geometry global differential geometry

Editors and affiliations

  • Xianzhe Dai
    • 1
  • Xiaochun Rong
    • 2
  1. 1., Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA
  2. 2., Department of MathematicsRutgers UniversityPiscatawayUSA

Bibliographic information