It is well known that, in a Riemann space, the dynamic laws are actually geometrical laws. As familiar from General Relativity, the motion of a body in a gravitational field is described by the geodesic equations, which are in turn related to the affine and metric properties of the Riemann space–time.
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(2007). Dynamics in DR5. In: Deformed Spacetime. Fundamental Theories of Physics, vol 157. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6283-4_23
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DOI: https://doi.org/10.1007/978-1-4020-6283-4_23
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