Differential Geometry of Singular Spaces and Reduction of Symmetry
eBook - PDF

Differential Geometry of Singular Spaces and Reduction of Symmetry

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Differential Geometry of Singular Spaces and Reduction of Symmetry

About this book

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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Yes, you can access Differential Geometry of Singular Spaces and Reduction of Symmetry by J. Śniatycki in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Contents
  3. Preface
  4. List of selected symbols
  5. 1 Introduction
  6. Part I Differential geometry of singular spaces
  7. Part II Reduction of symmetries