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.

中文翻译：

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紧李群上自然约简度量的规定 Ricci 曲率问题

我们研究在紧李群上的自然约简度量类中规定 Ricci 曲率的问题。我们推导出方程可解性的充分必要条件，并提供了一系列例子。