From Geometry to Quantum Mechanics In Honor of Hideki Omori / edited by Yoshiaki Maeda, Peter Michor, Takushiro Ochiai, Akira Yoshioka.

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 thes...

Full description

Saved in:
Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Maeda, Yoshiaki (Editor), Michor, Peter (Editor), Ochiai, Takushiro (Editor), Yoshioka, Akira (Editor)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Progress in Mathematics, 252
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Global Analysis and Infinite-Dimensional Lie Groups
  • Aspects of Stochastic Global Analysis
  • A Lie Group Structure for Automorphisms of a Contact Weyl Manifold
  • Riemannian Geometry
  • Projective Structures of a Curve in a Conformal Space
  • Deformations of Surfaces Preserving Conformal or Similarity Invariants
  • Global Structures of Compact Conformally Flat Semi-Symmetric Spaces of Dimension 3 and of Non-Constant Curvature
  • Differential Geometry of Analytic Surfaces with Singularities
  • Symplectic Geometry and Poisson Geometry
  • The Integration Problem for Complex Lie Algebroids
  • Reduction, Induction and Ricci Flat Symplectic Connections
  • Local Lie Algebra Determines Base Manifold
  • Lie Algebroids Associated with Deformed Schouten Bracket of 2-Vector Fields
  • Parabolic Geometries Associated with Differential Equations of Finite Type
  • Quantizations and Noncommutative Geometry
  • Toward Geometric Quantum Theory
  • Resonance Gyrons and Quantum Geometry
  • A Secondary Invariant of Foliated Spaces and Type III? von Neumann Algebras
  • The Geometry of Space-Time and Its Deformations from a Physical Perspective
  • Geometric Objects in an Approach to Quantum Geometry.