Volume 252 2007

From Geometry to Quantum Mechanics

In Honor of Hideki Omori

ISBN: 978-0-8176-4512-0 (Print) 978-0-8176-4530-4 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xix

  2. Global Analysis and Infinite-Dimensional Lie Groups

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-24

      Aspects of Stochastic Global Analysis

    3. No Access

      Book Chapter

      Pages 25-44

      A Lie Group Structure for Automorphisms of a Contact Weyl Manifold

  3. Riemannian Geometry

    1. Front Matter

      Pages 45-45

    2. No Access

      Book Chapter

      Pages 47-51

      Projective Structures of a Curve in a Conformal Space

    3. No Access

      Book Chapter

      Pages 53-67

      Deformations of Surfaces Preserving Conformal or Similarity Invariants

    4. No Access

      Book Chapter

      Pages 69-83

      Global Structures of Compact Conformally Flat Semi-Symmetric Spaces of Dimension 3 and of Non-Constant Curvature

    5. No Access

      Book Chapter

      Pages 85-89

      Differential Geometry of Analytic Surfaces with Singularities

  4. Symplectic Geometry and Poisson Geometry

    1. Front Matter

      Pages 91-91

    2. No Access

      Book Chapter

      Pages 93-109

      The Integration Problem for Complex Lie Algebroids

    3. No Access

      Book Chapter

      Pages 111-129

      Reduction, Induction and Ricci Flat Symplectic Connections

    4. No Access

      Book Chapter

      Pages 131-145

      Local Lie Algebra Determines Base Manifold

    5. No Access

      Book Chapter

      Pages 147-160

      Lie Algebroids Associated with Deformed Schouten Bracket of 2-Vector Fields

    6. No Access

      Book Chapter

      Pages 161-209

      Parabolic Geometries Associated with Differential Equations of Finite Type

  5. Quantizations and Noncommutative Geometry

    1. Front Matter

      Pages 211-211

    2. No Access

      Book Chapter

      Pages 213-251

      Toward Geometric Quantum Theory

    3. No Access

      Book Chapter

      Pages 253-275

      Resonance Gyrons and Quantum Geometry

    4. No Access

      Book Chapter

      Pages 277-286

      A Secondary Invariant of Foliated Spaces and Type IIIλ von Neumann Algebras

    5. No Access

      Book Chapter

      Pages 287-301

      The Geometry of Space-Time and Its Deformations from a Physical Perspective

    6. No Access

      Book Chapter

      Pages 303-324

      Geometric Objects in an Approach to Quantum Geometry