Abstract
The study of the real Hamilton geometry was initiated by R. Miron, [Mi5, Mi6], as a necessity of creating a geometrical model in the study of Hamilton mechanics. The support of this geometry is the cotangent bundle of a manifold. Imposing conditions of homogeneity for Hamiltonian metrics are obtained the Cartan spaces, which are analogous to Finsler spaces on the cotangent bundle. The results in this domain are numerous and of interest for applications. The monograph [MS], recently published, studies the problematic of the real Hamiltonian spaces.
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© 2004 Springer Science+Business Media Dordrecht
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Munteanu, G. (2004). Hamilton and Cartan complex spaces. In: Complex Spaces in Finsler, Lagrange and Hamilton Geometries. Fundamental Theories of Physics, vol 141. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2206-7_6
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DOI: https://doi.org/10.1007/978-1-4020-2206-7_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6614-5
Online ISBN: 978-1-4020-2206-7
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