Differential Geometry of Singular Spaces and Reduction of Symmetry (New Mathematical Monographs, Series Number 23) - Hardcover

Śniatycki, J.

Hardcover

ISBN 10: 1107022711 ISBN 13: 9781107022713

Publisher: Cambridge University Press, 2013

Synopsis

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.

About this title

Book Description

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.

About the Author

J. Śniatycki is a professor in the Department of Mathematics at the University of Calgary.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2013
• ISBN 10: 1107022711
• ISBN 13: 9781107022713
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 247