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Record Nr. |
UNINA9910452484303321 |
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Autore |
Śniatycki Jędrzej |
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Titolo |
Differential geometry of singular spaces and reduction of symmetry / / J. Śniatycki, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2013 |
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ISBN |
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1-139-88895-1 |
1-107-05451-6 |
1-107-05905-4 |
1-139-13699-2 |
1-107-05559-8 |
1-107-05780-9 |
1-107-05668-3 |
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Descrizione fisica |
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1 online resource (xii, 235 pages) : digital, PDF file(s) |
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Collana |
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New mathematical monographs ; ; 23 |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Function spaces |
Symmetry (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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