The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups |
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| Affiliation: | 1. FaMAF & CIEM, Universidad Nacional de Córdoba, Córdoba, Argentina;2. School of Mathematics and Physics, The University of Queensland, St Lucia, QLD, Australia;3. Department of Mathematics, University of Pennsylvania, Philadelphia, PA, USA |
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| Abstract: | We study the problem of prescribing the Ricci curvature in the class of naturally reductive metrics on a compact Lie group. We derive necessary as well as sufficient conditions for the solvability of the equations and provide a series of examples. |
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