Abstract
In this work a modality is exposed in which Hamiltonians may be treated independently and not like images, via the Legendre transformation of some Lagrangians. In this way the work presents two distinct results: one of them defines the variational problem of a Hamiltonian and the other reconstructs the Miron model of the Hamiltonian geometry, using only the Hamiltonian itself.
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References
Cartan, E., Les espaces de Finsler, Actualités Scientifiques et Industrialles, no. 79, Paris, 1934.
Miron, R., Hamilton Geometry, Seminarul de Mecanică, nr. 3, Univ. Timişoara, 1987.
Şandru, O.I., Structuri Hamilton-Lagrange asociate unor sisteme de ecuaţii cu derivate parţiale, Univ. “Politehnica” Bucureşti, 1994.
Şandru, O. I., Local Hamilton-Lagrange structures. Applications in the partial differential equations theory, Seminarul de Mecanică nr. 42, Univ. Timişoara, 1994.
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şandru, O.I. (2003). Intrinsic Geometrization of the Variational Hamiltonian Calculus. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_24
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DOI: https://doi.org/10.1007/978-94-017-0405-2_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6325-0
Online ISBN: 978-94-017-0405-2
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