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arXiv · 2006.15765

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

Romina M. Arroyo·Mark D. Gould·Artem Pulemotov
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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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Romina M. Arroyo, Mark D. Gould, Artem Pulemotov. 2020-06-29. The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups. https://arxiv.org/abs/2006.15765

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