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portada pfaffian systems, k-symplectic systems
pfaffian systems, k-symplectic systemspfaffian systems, k-symplectic systems
Type
Physical Book
Publisher
Language
English
Pages
260
ISBN
0792363736
ISBN13
9780792363736

pfaffian systems, k-symplectic systems

Goze,Awane (Author) · Springer · Physical Book

pfaffian systems, k-symplectic systems - goze,awane

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Synopsis "pfaffian systems, k-symplectic systems"

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.

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