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The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups (2006.15765v2)
Published 29 Jun 2020 in math.DG
Abstract: We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of conditions for the solvability of the underlying equations and discuss several examples.
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