Isometric embedding for homogeneous compact 3-manifolds |
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| Authors: | István Ozsváth Engelbert L Schücking |
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| Institution: | (1) Programs in Mathematical Sciences, University of Texas at Dallas, 75083-0688 Richardson, Texas, USA;(2) Department of Physics, New York University, 4 Washington Place, 10003 New York, New York, USA |
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| Abstract: | 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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