From Geometry to Quantum Mechanics

In Honor of Hideki Omori

  • Yoshiaki Maeda
  • Takushiro Ochiai
  • Peter Michor
  • Akira Yoshioka

Part of the Progress in Mathematics book series (PM, volume 252)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Global Analysis and Infinite-Dimensional Lie Groups

    1. Front Matter
      Pages 1-1
    2. K. D. Elworthy
      Pages 3-24
  3. Riemannian Geometry

  4. Symplectic Geometry and Poisson Geometry

    1. Front Matter
      Pages 91-91
    2. Michel Cahen, Simone Gutt
      Pages 111-129
    3. Janusz Grabowski
      Pages 131-145
    4. Kentaro Mikami, Tadayoshi Mizutani
      Pages 147-160
  5. Quantizations and Noncommutative Geometry

    1. Front Matter
      Pages 211-211
    2. Hideki Omori
      Pages 213-251
    3. Mikhail Karasev
      Pages 253-275
    4. Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka
      Pages 303-324

About this book


This volume is composed of invited expository articles by well-known mathematicians in differential geometry and mathematical physics that have been arranged in celebration of Hideki Omori's recent retirement from Tokyo University of Science and in honor of his fundamental contributions to these areas.

The papers focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, infinite-dimensional Lie group theory, quantizations and noncommutative geometry, as well as applications of partial differential equations and variational methods to geometry. These articles will appeal to graduate students in mathematics and quantum mechanics, as well as researchers, differential geometers, and mathematical physicists.

Contributors include: M. Cahen, D. Elworthy, A. Fujioka, M. Goto, J. Grabowski, S. Gutt, J. Inoguchi, M. Karasev, O. Kobayashi, Y. Maeda, K. Mikami, N. Miyazaki, T. Mizutani, H. Moriyoshi, H. Omori, T. Sasai, D. Sternheimer, A. Weinstein, K. Yamaguchi, T. Yatsui, and A. Yoshioka.


Area Group theory Omori, Hideki Volume infinite-dimensional Lie groups algebra mathematical physics partial differential equation quantum mechanics similarity symplectic geometry

Editors and affiliations

  • Yoshiaki Maeda
    • 1
  • Takushiro Ochiai
    • 2
  • Peter Michor
    • 3
  • Akira Yoshioka
    • 4
  1. 1.Department of Mathematics, Faculty of Science and TechnologyKeio UniversityHiyoshi, YokohamaJapan
  2. 2.Department of Natural ScienceNippon Sports Science UniversityTokyoJapan
  3. 3.Facultät für MathematikUniversität WeinWeinAustria
  4. 4.Department of MathematicsTokyo University of ScienceKagurazaka, TokyoJapan

Bibliographic information