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Differential Geometry of Singular Spaces and Reduction of Symmetry ?niatycki

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Differential Geometry of Singular Spaces and Reduction of Symmetry

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

J. ?niatycki (Author)

9781107022713, Cambridge University Press

Hardback, published 13 June 2013

247 pages

23.4 x 15.7 x 1.7 cm, 0.48 kg

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]

Differential Geometry of Singular Spaces and Reduction of Symmetry ?niatycki

Differential Geometry of Singular Spaces and Reduction of Symmetry

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

J. ?niatycki (Author)

9781107022713, Cambridge University Press

Hardback, published 13 June 2013

247 pages

23.4 x 15.7 x 1.7 cm, 0.48 kg

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]

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