most citedStability of the Ricci Yang-Mills flow at Einstein Yang-Mills metrics

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math.DG2008★ 2 cited

Stability of the Ricci Yang-Mills flow at Einstein Yang-Mills metrics

Andrea Young

Let be a principal U(1)-bundle over a closed manifold . On , one can define a modified version of the Ricci flow called the Ricci Yang-Mills flow, due to these equations…

math.DG2006★ 1 cited

Asymptotic Stability of the Cross Curvature Flow at a Hyperbolic Metric

Dan Knopf, Andrea Young

We show that there exists a suitable neighborhood of a constant curvature hyperbolic metric such that, for all initial data in this neighborhood, the corresponding solution to a no…