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Journal of Mathematical Physics, 1988
This paper contains two results. First it is shown that the three-dimensional Riemannian space, which is invariant under the transformations of the rotation group, cannot be embedded in a four-dimensional Euclidean space (except, of course, for the three-dimensional sphere).
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This paper contains two results. First it is shown that the three-dimensional Riemannian space, which is invariant under the transformations of the rotation group, cannot be embedded in a four-dimensional Euclidean space (except, of course, for the three-dimensional sphere).
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Acta Mathematica Hungarica, 2000
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