Differential Geometry of Singular Spaces and Reduction of Symmetry
by
J. Sniatycki
Book Details
Format
Hardback or Cased Book
Book Series
New Mathematical Monographs
ISBN-10
1107022711
ISBN-13
9781107022713
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jun 13th, 2013
Print length
247 Pages
Weight
482 grams
Dimensions
23.60 x 15.60 x 1.80 cms
Product Classification:
Analytic geometry
Ksh 20,700.00
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In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. The book covers applications in pure and applied mathematics and in mechanics, and it will interest researchers and graduate students in these areas.
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.
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