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math.DG2013
Curvature Estimates for Critical 4-Manifolds with a Lower Ricci Curvature Bound
Brian Weber
We draw elliptic regularity results for 4-manifolds with an elliptic system, without Sobolev constant control. Direct use of analysis is circumvented; the results come mainly throu…
math.DG2013★ 1 cited
Harnack Inequalities for Critical 4-manifolds with a Ricci Curvature Bound
Brian Weber
We study critical Riemannian 4-manifolds with a lower bound on Ricci curvature, but no a priori analytic constraints such as on Sobolev constants. We derive elliptic-type estimates…
math.DG2013
Energy and Asymptotics of Ricci-Flat 4-Manifolds with a Killing Field
Brian Weber
Given a complete, Ricci-flat 4-manifold with a Killing field, we give an estimate on the manifold's energy in terms of a certain asymptotic quantity of the Killing field. If the Ki…