From Geometry to Quantum Mechanics

Part I.Global Analysis and Infinite-Dimensional Lie Groups

1. Aspects of Stochastic Global Analysis
K. D. Elworthy

2. A Lie Group Structure for Automorphisms of a Contact Weyl Manifold
Naoya Miyazaki

Part II.Riemannian Geometry

3. Projective Structures of a Curve in a Conformal Space
Osamu Kobayashi

4. Deformations of Surfaces Preserving Conformal or Similarity Invariants
Atsushi Fujioka, Jun-ichi Inoguchi

5. Global Structures of Compact Conformally Flat Semi-Symmetric Spaces of Dimension 3 and of Non-Constant Curvature
Midori S. Goto

6. Differential Geometry of Analytic Surfaces with Singularities
Takao Sasai

Part III.Symplectic Geometry and Poisson Geometry

7. The Integration Problem for Complex Lie Algebroids
Alan Weinstein

8. Reduction, Induction and Ricci Flat Symplectic Connections
Michel Cahen, Simone Gutt

9. Local Lie Algebra Determines Base Manifold
Janusz Grabowski

10. Lie Algebroids Associated with Deformed Schouten Bracket of 2-Vector Fields
Kentaro Mikami, Tadayoshi Mizutani

11. Parabolic Geometries Associated with Differential Equations of Finite Type
Keizo Yamaguchi, Tomoaki Yatsui

Part IV.Quantizations and Noncommutative Geometry

12. Toward Geometric Quantum Theory
Hideki Omori

13. Resonance Gyrons and Quantum Geometry
Mikhail Karasev

14. A Secondary Invariant of Foliated Spaces and Type III? von Neumann Algebras
Hitoshi Moriyoshi

15. The Geometry of Space-Time and Its Deformations from a Physical Perspective
Daniel Sternheimer

16. Geometric Objects in an Approach to Quantum Geometry
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000