On the Carathéodory Form in Higher-Order Variational Field Theory
نویسندگان
چکیده
The Carathéodory form of the calculus variations belongs to class Lepage equivalents first-order Lagrangians in field theory. Here, this equivalent is generalized for second- and higher-order by means intrinsic geometric operations applied well-known Poincaré–Cartan principal component forms, respectively. For second-order theory, our definition coincides with previous result obtained Crampin Saunders a different way. Hilbert Lagrangian general relativity discussed.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13050800