Abstract
The results of this chapter represent the basics for a subsequent geometrization on dual 1-jet spaces of the time-dependent Hamiltonians \(H:{J^{1*}(\mathbb {R},M)} \rightarrow \mathbb {R}\), which consist in the study of some important geometrical objects depending on momenta, such as d-tensors, time-dependent semisprays or nonlinear connections, together with their mathematical relations.
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Neagu, M., Oană, A. (2022). The Dual 1-Jet Space \(E^{*}=J^{1*}(\mathbb {R},M)\). In: Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications. Synthesis Lectures on Mathematics & Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-08885-8_1
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DOI: https://doi.org/10.1007/978-3-031-08885-8_1
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-08884-1
Online ISBN: 978-3-031-08885-8
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