Pfaffian Systems, k-Symplectic Systems
Author:   A. Awane ,  M. Goze
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 2000
ISBN:  

9789048154869


Pages:   240
Publication Date:   12 December 2011
Format:   Paperback
Availability:   Out of stock   Availability explained
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Pfaffian Systems, k-Symplectic Systems


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Overview

The 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 Details

Author:   A. Awane ,  M. Goze
Publisher:   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:  

9789048154869


ISBN 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   Availability explained
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 Contents

1 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.

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