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Complete scalar-flat Kahler 4-manifolds with a continuous symmetry

Published 12 Nov 2023 in math.DG | (2311.06950v1)

Abstract: We study complete scalar-flat Kahler manifolds with a Killing field and a mild asymptotic condition. We show that topological and geometric rigidities exist that powerfully restrict the manifold's behavior at infinity. We create a rough classification for scalar-flat Kahler manifolds with a Killing field.

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