Abstract
In many respects, mechanics carries geometrical structures. This could be felt very clearly at various places in the first four chapters. The most important examples are the structures of the space–time continua that support the dynamics of nonrelativistic and relativistic mechanics, respectively. The formulation of Lagrangian mechanics over the space of generalized coordinates and their time derivatives, as well as of Hamilton–Jacobi canonical mechanics over the phase space, reveals strong geometrical features of these manifolds.
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© 2010 Springer-Verlag Berlin Heidelberg
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Scheck, F. (2010). Geometric Aspects of Mechanics. In: Mechanics. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05370-2_5
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DOI: https://doi.org/10.1007/978-3-642-05370-2_5
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-05370-2
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