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  • Conference proceedings
  • © 2012

Metric and Differential Geometry

The Jeff Cheeger Anniversary Volume

Birkhäuser

Editors:

(view affiliations)
  • 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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  • ISBN: 978-3-0348-0257-4
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USD 169.99
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Table of contents (12 papers)

  1. Front Matter

    Pages i-xlviii
  2. Differential Geometry

    1. Front Matter

      Pages 1-1
    2. Space of Kähler Metrics (V) – Kähler Quantization

      • Xiuxiong Chen, Song Sun
      Pages 19-41
    3. Split Special Lagrangian Geometry

      • F. Reese Harvey, H. Blaine Lawson Jr.
      Pages 43-89
    4. How Riemannian Manifolds Converge

      • Christina Sormani
      Pages 91-117
  3. Metric Geometry

    1. Front Matter

      Pages 161-161
  4. Index Theory

    1. Front Matter

      Pages 179-179
    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. Differential Characters for K-theory

      • James Simons, Dennis Sullivan
      Pages 353-361

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 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.

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

Keywords

  • K-theory in geometry
  • distance geometry
  • global differential geometry

Editors and Affiliations

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

    Xianzhe Dai

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

    Xiaochun Rong

Bibliographic Information

Buying options

eBook
USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-3-0348-0257-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 169.99
Price excludes VAT (USA)
Hardcover Book
USD 169.99
Price excludes VAT (USA)