Abstract
In this work we state and prove, in a frame-independent way, necessary and sufficient conditions for vorticity-preserving motions in classical space-time. Also we prove appropriate generalizations of classical Kelvin’s theorems for isentropic and isochoric motions. In order to achieve a frame-independent formulation, we use the concept of classical nonrelativistic space-time, considered as a 4-dimensional differentiable manifoldM endowed with an affine connection Γ. In this respect our results are generalizations of classical frame-dependent ones, based on a much simpler flat space-timeM =T xE, where the « time »T and the « space »E are Euclidean spaces of dimension one and three, respectively.
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