Isometric Embedding for Homogeneous Compact 3-Manifolds

Physics

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Scientific paper

The anisotropic homogeneous ?3 is isometrically globally embedded into a nine-dimensional Euclidean or pseudo-Euclidean space. In a special case the Euclidean space is six-dimensional. The space-sections of the anti-Mach metric appear as a submanifold of theE 9. We obtain also the isometric embedding ofSO(3) with its natural Killing metric.

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