A new method to construct explicitly global Poincaré-Cartan forms in higher-order calculus of variations is presented. The method is based on an extensive use of the concepts of "fibered connections" and "formal covariant derivatives", As an example. the case of third-order field theories is considered in detail.
Fibered connections and global Poincaré-Cartan forms in higher order calculus of variations
FERRARIS, Marco
1984-01-01
Abstract
A new method to construct explicitly global Poincaré-Cartan forms in higher-order calculus of variations is presented. The method is based on an extensive use of the concepts of "fibered connections" and "formal covariant derivatives", As an example. the case of third-order field theories is considered in detail.
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