From geometry to quantum mechanics : in honor of Hideki Omori
著者
書誌事項
From geometry to quantum mechanics : in honor of Hideki Omori
（Progress in mathematics, v. 252）
Birkhäuser, c2007
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注記
Includes bibliographical references
内容説明・目次
内容説明
* Invited articles in differential geometry and mathematical physics in honor of Hideki Omori
* Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry
* Will appeal to graduate students in mathematics and quantum mechanics; also a reference
目次
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.
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