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arXiv · 2001.09441

The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups

Romina M. Arroyo·Artem Pulemotov·Wolfgang Ziller
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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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Romina M. Arroyo, Artem Pulemotov, Wolfgang Ziller. 2020-01-26. The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups. https://arxiv.org/abs/2001.09441

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