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math.DG2019
The Prescribed Ricci Curvature Problem for Homogeneous Metrics
Timothy Buttsworth, Artem Pulemotov
The prescribed Ricci curvature problem consists in finding a Riemannian metric on a manifold such that the Ricci curvature of equals a given -tensor field . W…
math.DG2019
Local Stability of Einstein Metrics Under the Ricci Iteration
Timothy Buttsworth, Maximilien Hallgren
We provide a sufficient condition for the local stability of closed Einstein manifolds of positive Ricci curvature under the Ricci iteration in terms of the spectrum of the Lichner…