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Constrained Mechanics and Lie Theory (Hermann, Robert Interdisciplinary Mathematics Series, no.27) by Robert Hermann

Posted on 2011-01-25




Name:Constrained Mechanics and Lie Theory (Hermann, Robert Interdisciplinary Mathematics Series, no.27) by Robert Hermann
ASIN/ISBN:0915692430
Publisher:Math-Sci Press (December 1992)
Pages:288
File size:2.07 Mb
Publisher: Math-Sci Press (December 1992)
ISBN: 0915692430
Pages: 288
File Size: 2.07 MB
Other Info: DJVU
   Constrained Mechanics and Lie Theory (Hermann, Robert Interdisciplinary Mathematics Series, no.27) by Robert Hermann



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By using the term 'Lie Theory' in the title I mainly mean to imply the theory of the algebraic structure on smooth vector fields on manifolds defined by the Jacobi-lie bracket. This also forms the heart of much of Lie's work. I would also add to what one calls 'Lie Theory' the theory of a closely related algebraic structure, namely that associated with the affine connections on manifolds and their associated covariant differentiation operations on vector fields. As we shall see in this book, these structures are basic ones in the study of the geometry of constrained mechanical and variational systems.

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