Differential geometry of singular spaces and reduction of symmetry
 Responsibility
 J. Śniatycki.
 Publication
 Cambridge : Cambridge University Press, 2013.
 Physical description
 xii, 235 pages ; 24 cm.
 Series
 New mathematical monographs ; 23.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA641 .S55 2013  Unknown 
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Creators/Contributors
 Author/Creator
 Śniatycki, Jędrzej.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages [228]232) and index.
 Contents

 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 References Index.
 (source: Nielsen Book Data)9781107022713 20160612
 Publisher's Summary
 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, nonholonomically 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.
(source: Nielsen Book Data)9781107022713 20160612  Supplemental links
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Bibliographic information
 Publication date
 2013
 Series
 New mathematical monographs ; 23
 ISBN
 9781107022713 (hardback)
 1107022711 (hardback)