Pfaffian Systems, k-Symplectic Systems

Pfaffian Systems, k-Symplectic Systems

Editorial Reviews
Book Description
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.

Book Info
Presents the classification theorems, Frobenius and Darboux, and the local classification of Pfaffian Systems of five variables, following Cartan. Discusses the new class of exterior systems, k-symplectic systems.

Pfaffian Systems, k-Symplectic Systems,A. Awane,M. Goze,Springer,0792363736,Differential Geometry,Functional Analysis,Geometry - Differential,Global Analysis,Mathematics,Pfaffian systems,Physics,Probability & Statistics - General,Science/Mathematics,Symplectic manifolds,Mathematics / Geometry / Differential

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