Pfaffian Systems, k-Symplectic Systems
by Azzouz Awane
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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Pfaffian Systems, k-Symplectic Systems
2000, Springer Netherlands
electronic resource /
in English
9048154863 9789048154869
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| September 29, 2024 | Edited by MARC Bot | import existing book |
| December 29, 2021 | Edited by ImportBot | import existing book |
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