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020 6 4 _a9780817645304
_9978-0-8176-4530-4
024 8 7 _a10.1007/978-0-8176-4530-4
_2doi
050 8 4 _aQA641-670
072 8 7 _aPBMP
_2bicssc
072 8 7 _aMAT012030
_2bisacsh
082 _a516.36
_223
100 8 1 _aMaeda, Yoshiaki.
_eeditor.
_932286
245 9 7 _aFrom Geometry to Quantum Mechanics
_h[electronic resource] :
_bIn Honor of Hideki Omori /
_cedited by Yoshiaki Maeda, Takushiro Ochiai, Peter Michor, Akira Yoshioka.
001 000047775
300 6 4 _aXVII, 324 p., 7 illus.
_bonline resource.
490 8 1 _aProgress in Mathematics ;
_v252
505 8 0 _aGlobal 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.
520 6 4 _aThis 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 these areas. The papers focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, infinite-dimensional Lie group theory, quantizations and noncommutative geometry, as well as applications of partial differential equations and variational methods to geometry. These articles will appeal to graduate students in mathematics and quantum mechanics, as well as researchers, differential geometers, and mathematical physicists. Contributors include: M. Cahen, D. Elworthy, A. Fujioka, M. Goto, J. Grabowski, S. Gutt, J. Inoguchi, M. Karasev, O. Kobayashi, Y. Maeda, K. Mikami, N. Miyazaki, T. Mizutani, H. Moriyoshi, H. Omori, T. Sasai, D. Sternheimer, A. Weinstein, K. Yamaguchi, T. Yatsui, and A. Yoshioka.
650 8 0 _aMathematics.
_98571
650 8 0 _aTopological Groups.
_99529
650 8 0 _aGlobal analysis.
_917903
650 8 0 _aGeometry.
_99802
650 8 0 _aGlobal differential geometry.
_99530
650 8 0 _aQuantum theory.
_912354
650 8 0 _aMathematical physics.
_99251
650 _aMathematics.
_98571
650 _aDifferential Geometry.
_99532
650 _aTopological Groups, Lie Groups.
_99531
650 _aMathematical Methods in Physics.
_99252
650 _aQuantum Physics.
_912357
650 _aGlobal Analysis and Analysis on Manifolds.
_917904
650 _aGeometry.
_99802
700 8 1 _aOchiai, Takushiro.
_eeditor.
_932287
700 8 1 _aMichor, Peter.
_eeditor.
_932288
700 8 1 _aYoshioka, Akira.
_eeditor.
_932289
710 8 2 _aSpringerLink (Online service)
_932290
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9780817645120
830 8 0 _aProgress in Mathematics ;
_v252
_932291
856 _uhttp://dx.doi.org/10.1007/978-0-8176-4530-4
_zde clik aquí para ver el libro electrónico
264 8 1 _aBoston, MA :
_bBirkhuser Boston,
_c2007.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-SMA
999 _c47504
_d47504
942 _c05