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Metric and Differential Geometry

The Jeff Cheeger Anniversary Volume

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Xianzhe Dai

    1. , Department of Mathematics, University of California, Santa Barbara, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Xiaochun Rong

    1. , Department of Mathematics, Rutgers University, Piscataway, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (12 papers)

  1. Front Matter

    Pages i-xlviii
    Download chapter PDF

  2. Differential Geometry

    1. Front Matter

      Pages 1-1
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    2. Boundary Value Problems for Metrics on 3-manifolds

      • Michael T. Anderson
      Pages 3-17

    3. Space of Kähler Metrics (V) – Kähler Quantization

      • Xiuxiong Chen, Song Sun
      Pages 19-41

    4. Split Special Lagrangian Geometry

      • F. Reese Harvey, H. Blaine Lawson Jr.
      Pages 43-89

    5. How Riemannian Manifolds Converge

      • Christina Sormani
      Pages 91-117

    6. Existence of Einstein Metrics on Fano Manifolds

      • Gang Tian
      Pages 119-159

  3. Metric Geometry

    1. Front Matter

      Pages 161-161
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    2. Analytic Properties of Quasiconformal Mappings Between Metric Spaces

      • P. Koskela, K. Wildrick
      Pages 163-174

    3. An Application of Metric Cotype to Quasisymmetric Embeddings

      • Assaf Naor
      Pages 175-178

  4. Index Theory

    1. Front Matter

      Pages 179-179
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    2. Index Theory and the Hypoelliptic Laplacian

      • Jean-Michel Bismut
      Pages 181-232

    3. Adiabatic Limit, Heat Kernel and Analytic Torsion

      • Xianzhe Dai, Richard B. Melrose
      Pages 233-298

    4. Transversal Index and L2-index for Manifolds with Boundary

      • Xiaonan Ma, Weiping Zhang
      Pages 299-315

    5. The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds

      • Werner Müller
      Pages 317-352

    6. Differential Characters for K-theory

      • James Simons, Dennis Sullivan
      Pages 353-361
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Keywords

About this book

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 to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments.

Contributors:

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

Editors and Affiliations

  • , Department of Mathematics, University of California, Santa Barbara, USA

    Xianzhe Dai

  • , Department of Mathematics, Rutgers University, Piscataway, USA

    Xiaochun Rong

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