Ricci flow for homogeneous compact models of the universe |
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| Authors: | I. Ozsváth E. L. Schücking C. C. Lin |
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| Affiliation: | 1.Department of Mathematics,The University of Texas at Dallas,Richardson,USA;2.Department of Physics,New York University,New York,USA |
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| Abstract: | Using quaternions, we give a concise derivation of the Ricci tensor for homogeneous spaces with topology of the 3-dimensional sphere. We derive explicit and numerical solutions for the Ricci flow PDE and discuss their properties. In the collapse (or expansion) of these models, the interplay of the various components of the Ricci tensor are studied. |
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