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Differential Geometry of Singular Spaces and Reduction of Symmetry

$94.99 (C)

Part of New Mathematical Monographs

  • Date Published: July 2013
  • availability: In stock
  • format: Hardback
  • isbn: 9781107022713

$ 94.99 (C)
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About the Authors
  • 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.

    • A new approach to differential geometry
    • The book balances theory and application
    • Suitable for non-experts in the fields of application
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    Product details

    • Date Published: July 2013
    • format: Hardback
    • isbn: 9781107022713
    • length: 247 pages
    • dimensions: 234 x 157 x 17 mm
    • weight: 0.48kg
    • availability: In stock
  • Table of Contents

    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.

  • Author

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

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