Abstract
Summary The geometry of holonomic and non-holonomic reference systems is considered with the purpose of getting an intrinsic description of physical events taking place in the Earth's spatial region without being involved with a non-vanishing Cartan torsion and thus with non-integrable co-ordinates; furthermore it is shown that when a scalar field is a relevant physical parameter of the problem, the geometrical structure of the former is completely defined by a generalization of the Marussi tensor. Finally the non-Riemannian character of the geometry involved with a new definition of parallelism for vector quantities of geophysical interest is revealed.
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