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Lepage forms theory applied. (English) Zbl 1212.49060
Summary: In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.
MSC:
49S05 Variational principles of physics
53Z05 Applications of differential geometry to physics
49Q20 Variational problems in a geometric measure-theoretic setting
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