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Geometry and Topology of Manifolds

10th China-Japan Conference 2014

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Akito Futaki

    1. The University of Tokyo, Meguro-ku, Japan

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  2. Reiko Miyaoka

    1. Mathematical Institute, Tohoku University, Sendai,Aoba-ku, Japan

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  3. Zizhou Tang

    1. School of Mathematical Sciences, Beijing Normal University, Beijing, China

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  4. Weiping Zhang

    1. Chern Institute of Mathematics, Nankai University, Tianjin, China

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  • Shows recent development in
  • geometry and topology
  • Gives access to sophisticated
  • techniques in geometric analysis
  • Leads to future directions of research in geometry and topology
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 154)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Minimal Legendrian Surfaces in the Five-Dimensional Heisenberg Group

    • Reiko Aiyama, Kazuo Akutagawa
    Pages 1-13

  3. Gluing Principle for Orbifold Stratified Spaces

    • Bohui Chen, An-Min Li, Bai-Ling Wang
    Pages 15-57

  4. Applications of the Affine Structures on the Teichmüller Spaces

    • Kefeng Liu, Yang Shen, Xiaojing Chen
    Pages 59-79

  5. Critical Points of the Weighted Area Functional

    • Qing-Ming Cheng
    Pages 81-96

  6. A New Look at Equivariant Minimal Lagrangian Surfaces in \({\mathbb {C}} P^2\)

    • Josef F. Dorfmeister, Hui Ma
    Pages 97-125

  7. A Survey on Balanced Metrics

    • Jixiang Fu
    Pages 127-138

  8. Can One Hear the Shape of a Group?

    • Koji Fujiwara
    Pages 139-146

  9. Differential Topology Interacts with Isoparametric Foliations

    • Chao Qian, Jianquan Ge
    Pages 147-157

  10. Unobstructed Deformations of Generalized Complex Structures Induced by \(C^{\infty } \) Logarithmic Symplectic Structures and Logarithmic Poisson Structures

    • Ryushi Goto
    Pages 159-183

  11. The Symplectic Critical Surfaces in a Kähler Surface

    • Xiaoli Han, Jiayu Li, Jun Sun
    Pages 185-193

  12. Some Evolution Problems in the Vacuum Einstein Equations

    • Junbin Li, Xi-Ping Zhu
    Pages 195-210

  13. Willmore 2-Spheres in \(S^n\): A Survey

    • Xiang Ma, Peng Wang
    Pages 211-233

  14. The Yau-Tian-Donaldson Conjecture for General Polarizations, I

    • Toshiki Mabuchi
    Pages 235-245

  15. Behavior of Gaussian Curvature and Mean Curvature Near Non-degenerate Singular Points on Wave Fronts

    • L. F. Martins, K. Saji, M. Umehara, K. Yamada
    Pages 247-281

  16. The Calabi Invariant and Central Extensions of Diffeomorphism Groups

    • Hitoshi Moriyoshi
    Pages 283-297

  17. Concentration, Convergence, and Dissipation of Spaces

    • Takashi Shioya
    Pages 299-314

  18. The Space of Left-Invariant Riemannian Metrics

    • Hiroshi Tamaru
    Pages 315-326

  19. Futaki Invariant and CM Polarization

    • Gang Tian
    Pages 327-348
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Keywords

About this book

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson conjecture in Kähler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.
The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.

Editors and Affiliations

  • The University of Tokyo, Meguro-ku, Japan

    Akito Futaki

  • Mathematical Institute, Tohoku University, Sendai,Aoba-ku, Japan

    Reiko Miyaoka

  • School of Mathematical Sciences, Beijing Normal University, Beijing, China

    Zizhou Tang

  • Chern Institute of Mathematics, Nankai University, Tianjin, China

    Weiping Zhang

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