Differential Geometry of Singular Spaces and Reduction of by J. Śniatycki

By J. Śniatycki

during this e-book the writer illustrates the ability of the idea of subcartesian differential areas for investigating areas with singularities. half I offers an in depth and entire presentation of the speculation of differential areas, together with integration of distributions on subcartesian areas and the constitution of stratified areas. half II provides a good method of the relief of symmetries. Concrete purposes coated within the textual content comprise aid of symmetries of Hamiltonian structures, non-holonomically limited structures, Dirac constructions, and the commutation of quantization with relief for a formal motion of the symmetry team. With every one program the writer presents an advent to the sector within which appropriate difficulties happen. This ebook will entice researchers and graduate scholars in arithmetic and engineering.

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