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OverviewThe geometrical view of mechanics is based on the study of certain exterior systems, the most classical of which are Pfaffian systems. In this book, we present the classification theorems (Frobenius, Darboux) and the local classification of Pfaffian systems of five variables, following Cartan. We also present a new class of exterior systems, called k-symplectic systems, generalizing the notion of symplectic form. These systems permit us to write in the language of exterior forms the equations proposed by Nambu for a model of statistical mechanics. Audience: This book is aimed at graduate students and at research workers in the field of mathematics, differential geometry, statistical mechanics, mathematics of physics and Lie algebras. Full Product DetailsAuthor: A. Awane , M. GozePublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 2000 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.454kg ISBN: 9789048154869ISBN 10: 9048154863 Pages: 240 Publication Date: 12 December 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 Exterior Forms.- 2 Exterior Systems.- 3 k-Symplectic Exterior Systems.- 4 Pfaffian Systems.- 5 Classification of Pfaffian Systems.- 6 k-Symplectic Manifolds.- 7 k-Symplectic Affine Manifolds.- 8 Homogeneous k-Symplectic G-Spaces.- 9 Geometric Pre-Quantization.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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