Umfang:
1 online resource (xii, 235 pages)
ISBN:
9781107022713
,
9781139136990
Serie:
New mathematical monographs 23
Inhalt:
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.
Inhalt:
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
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9781107022713
Weitere Ausg.:
Śniatycki, Je̜drzej Differential geometry of singular spaces and reduction of symmetry Cambridge [u.a.] : Cambridge Univ. Press, 2013 ISBN 9781107022713
Weitere Ausg.:
ISBN 1107022711
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9781107022713
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Differentialgeometrie
;
Globale Analysis
DOI:
10.1017/CBO9781139136990
Mehr zum Autor:
Śniatycki, Je̜drzej
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