Abstract
Geodesics of Riemannian spaces admitting certain types of Killing’s motions are considered. It is shown that corresponding to the geodesics there are curves in a lower-dimensional space which reveal a striking resemblance to the force laws of general relativity. The forces which emerge are of the electromagnetic and of the potential type. Some connections withKaluza’s five-dimensional theory are discussed. The so-called totally covariant calculus for such spaces is also developed.
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