Proves global well-posedness and smooth convergence of renormalized metrics to constant negative scalar curvature for large-data vacuum Einstein-Λ flow on negative Yamabe type 3-manifolds, confirming Ringström conjecture via integrable damping from Λ.
Brendle, Convergence of the Yamabe flow for arbitrary initial energy, Journal of Differential Geometry, vol
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A large data result for vacuum Einstein's equations
Proves global well-posedness and smooth convergence of renormalized metrics to constant negative scalar curvature for large-data vacuum Einstein-Λ flow on negative Yamabe type 3-manifolds, confirming Ringström conjecture via integrable damping from Λ.