© 2020

Geometric Analysis

In Honor of Gang Tian's 60th Birthday

  • Jingyi Chen
  • Peng Lu
  • Zhiqin Lu
  • Zhou Zhang

Part of the Progress in Mathematics book series (PM, volume 333)

Table of contents

  1. Front Matter
    Pages i-x
  2. Claudio Arezzo, Alberto Della Vedova
    Pages 1-16
  3. Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis
    Pages 17-35
  4. Sun-Yung A. Chang, Zheng-Chao Han, Paul Yang
    Pages 37-56
  5. Tobias Holck Colding, William P. Minicozzi II
    Pages 57-70
  6. Panagiotis Dimakis, Richard Melrose
    Pages 71-92
  7. Jiyuan Han, Jeff A. Viaclovsky
    Pages 113-135
  8. Bruce Kleiner, John Lott
    Pages 137-155
  9. Chi Li, Yuchen Liu, Chenyang Xu
    Pages 167-219
  10. Shiguang Ma, Jie Qing
    Pages 245-263
  11. Sean Timothy Paul, Kyriakos Sergiou
    Pages 287-303
  12. Tristan Rivière
    Pages 305-379
  13. Natasa Sesum
    Pages 445-463
  14. Jian Song
    Pages 465-469

About this book


This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of the current research in geometric analysis and related PDEs.

The book is of significant interest for researchers, including advanced Ph.D. students, working in geometric analysis. Readers who have a secondary interest in geometric analysis will benefit from the survey articles.

The results included in this book will stimulate further advances in the subjects: geometric analysis, including complex differential geometry, symplectic geometry, PDEs with a geometric origin, and geometry related to topology.

Contributions by Claudio Arezzo, Alberto Della Vedova, Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis, Sun-Yung A. Chang, Zheng-Chao Han, Paul Yang, Tobias Holck Colding, William P. Minicozzi II, Panagiotis Dimakis, Richard Melrose, Akito Futaki, Hajime Ono, Jiyuan Han, Jeff A. Viaclovsky, Bruce Kleiner, John Lott, Sławomir Kołodziej, Ngoc Cuong Nguyen, Chi Li, Yuchen Liu, Chenyang Xu, YanYan Li, Luc Nguyen, Bo Wang, Shiguang Ma, Jie Qing, Xiaonan Ma, Sean Timothy Paul, Kyriakos Sergiou, Tristan Rivière, Yanir A. Rubinstein, Natasa Sesum, Jian Song, Jeffrey Streets, Neil S. Trudinger, Yu Yuan, Weiping Zhang, Xiaohua Zhu and Aleksey Zinger.


Gang Tian complex geometry symplectic geometry Kähler metrics amenable covering

Editors and affiliations

  • Jingyi Chen
    • 1
  • Peng Lu
    • 2
  • Zhiqin Lu
    • 3
  • Zhou Zhang
    • 4
  1. 1.Department of MathematicsThe University of British ColumbiaVancouverCanada
  2. 2.Department of MathematicsUniversity of OregonEugeneUSA
  3. 3.Department of MathematicsUniversity of California, IrvineIrvineUSA
  4. 4.School of Mathematics and StatisticsUniversity of SydneySydneyAustralia

Bibliographic information

  • Book Title Geometric Analysis
  • Book Subtitle In Honor of Gang Tian's 60th Birthday
  • Editors Jingyi Chen
    Peng Lu
    Zhiqin Lu
    Zhou Zhang
  • Series Title Progress in Mathematics
  • Series Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-34952-3
  • Softcover ISBN 978-3-030-34955-4
  • eBook ISBN 978-3-030-34953-0
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages X, 616
  • Number of Illustrations 17 b/w illustrations, 8 illustrations in colour
  • Topics Global Analysis and Analysis on Manifolds
  • Buy this book on publisher's site