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math.DG2011
Topology of Kähler manifolds with weakly pseudoconvex boundary
Brian Weber
We study Kahler manifolds-with-boundary, not necessarily compact, with weakly pseudoconvex boundary, each component of which is compact. If such a manifold has boundary…
math.DG2011
Regularity and convergence of 4-dimensional extremal Kahler metrics
Brian Weber
We establish a regularity result for the metric on any 4-dimensional extremal Kähler manifold, and a weak compactness theorem on the space of such metrics. Specifically, the sectio…