The Prescribed Ricci Curvature Problem for Homogeneous Metrics

Timothy Buttsworth; Artem Pulemotov

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arXiv · 1911.08214

The Prescribed Ricci Curvature Problem for Homogeneous Metrics

Timothy Buttsworth·Artem Pulemotov

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Abstract

The prescribed Ricci curvature problem consists in finding a Riemannian metric $g$ on a manifold $M$ such that the Ricci curvature of $g$ equals a given $(0,2)$-tensor field $T$. We survey the recent progress on this problem in the case where $M$ is a homogeneous space.

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Timothy Buttsworth, Artem Pulemotov. 2019-11-19. The Prescribed Ricci Curvature Problem for Homogeneous Metrics. https://arxiv.org/abs/1911.08214

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