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E-book

Title From geometry to quantum mechanics : in honor of Hideki Omori / Yoshiaki Maeda [and others], editors
Published Boston : Birkhäuser, ©2007

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Description 1 online resource (xvii, 324 pages) : illustrations
Series Progress in mathematics ; v. 252
Progress in mathematics (Boston, Mass.) ; v. 252.
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
Summary Contains invited expository articles by well-known mathematicians in differential geometry and mathematical physics. This work focuses on trends in symplectic and Poisson geometry, global analysis, infinite-dimensional Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry
Bibliography Includes bibliographical references
Notes English
Print version record
In Springer eBooks
Subject Ōmori, Hideki, 1938-
SUBJECT Ōmori, Hideki, 1938- fast
Subject Geometry, Differential.
Mathematical physics.
Quantum theory.
Geometry.
Quantum Theory
geometry.
MATHEMATICS -- Geometry -- Differential.
Geometry, Differential
Mathematical physics
Quantum theory
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Maeda, Yoshiaki, 1948-
Ōmori, Hideki, 1938-
ISBN 9780817645304
0817645306
9780817645120
0817645128
6610852065
9786610852062