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- W2282199722 abstract "We consider higher-order homogeneous multiple-integral variational problems defined in the context of m-frame bundles, and construct an m-form (the Hilbert-Caratheodory form) with the same extremals as the Lagrangian. We show that for second-order problems, and for problems where m = 1, this m-form is projectable to the corresponding sphere bundle. Where a second-order problem of this kind has been obtained from a problem on an affine jet bundle, the projected m-form is a generalization of the Caratheodory form used in the study of first-order problems." @default.
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- W2282199722 date "2004-01-01" @default.
- W2282199722 modified "2023-09-23" @default.
- W2282199722 title "The Hilbert-Caratheodory and Poincare-Cartan forms for higher-order multiple-integral variational problems" @default.
- W2282199722 hasPublicationYear "2004" @default.
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