Differential geometry of singular spaces and reduction of symmetry / J. Sniatycki.

"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 space...

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Bibliographic Details
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TeilnehmendeR:
Year of Publication:2013
Language:English
Series:New mathematical monographs ; 23
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Physical Description:xii, 235 p. :; ill.
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Table of Contents:
  • Machine generated contents note: 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.