000 04200nam a22005775i 4500
001 978-0-8176-4530-4
003 DE-He213
005 20251006084436.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780817645304
020 _a99780817645304
024 7 _a10.1007/978-0-8176-4530-4
_2doi
082 0 4 _a516.36
_223
100 1 _aMaeda, Yoshiaki.
_eeditor.
245 1 0 _aFrom Geometry to Quantum Mechanics
_h[electronic resource] :
_bIn Honor of Hideki Omori /
_cedited by Yoshiaki Maeda, Takushiro Ochiai, Peter Michor, Akira Yoshioka.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2007.
300 _aXVII, 324 p., 7 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v252
505 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 _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 0 _aMATHEMATICS.
650 0 _aTOPOLOGICAL GROUPS.
650 0 _aGLOBAL ANALYSIS.
650 0 _aGEOMETRY.
650 0 _aGLOBAL DIFFERENTIAL GEOMETRY.
650 0 _aQUANTUM THEORY.
650 0 _aMATHEMATICAL PHYSICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aDIFFERENTIAL GEOMETRY.
650 2 4 _aTOPOLOGICAL GROUPS, LIE GROUPS.
650 2 4 _aMATHEMATICAL METHODS IN PHYSICS.
650 2 4 _aQUANTUM PHYSICS.
650 2 4 _aGLOBAL ANALYSIS AND ANALYSIS ON MANIFOLDS.
650 2 4 _aGEOMETRY.
700 1 _aOchiai, Takushiro.
_eeditor.
700 1 _aMichor, Peter.
_eeditor.
700 1 _aYoshioka, Akira.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817645120
830 0 _aProgress in Mathematics ;
_v252
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4530-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59685
_d59685