03426nam 22007092 450 991077975260332120230227190924.01-107-06512-71-139-88895-11-107-05451-61-107-05905-41-139-13699-21-107-05559-81-107-05780-91-107-05668-3(CKB)2550000001095164(EBL)1182949(OCoLC)847655162(SSID)ssj0000887250(PQKBManifestationID)11465705(PQKBTitleCode)TC0000887250(PQKBWorkID)10840757(UkCbUP)CR9781139136990(Au-PeEL)EBL1182949(CaPaEBR)ebr10718618(CaONFJC)MIL501911(MiAaPQ)EBC1182949(PPN)261313290(EXLCZ)99255000000109516420110815d2013|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierDifferential geometry of singular spaces and reduction of symmetry[electronic resource] /J. ŚniatyckiCambridge :Cambridge University Press,2013.1 online resource (xii, 235 pages) digital, PDF file(s)New mathematical monographs ;23Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-02271-1 1-299-70660-6 Includes bibliographical references and index.Preface -- 1. Introduction -- Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms -- Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction.In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering.New mathematical monographs ;23.Differential Geometry of Singular Spaces & Reduction of SymmetryGeometry, DifferentialFunction spacesSymmetry (Mathematics)Geometry, Differential.Function spaces.Symmetry (Mathematics)516.3/6MAT038000bisacshŚniatycki Jędrzej40466UkCbUPUkCbUPBOOK9910779752603321Differential geometry of singular spaces and reduction of symmetry3844521UNINA