Compactness of K\"ahler metrics with bounds on Ricci curvature and I functional

Tam\'as Darvas; Weiyong He; Xiuxiong Chen

arxiv: 1712.05095 · v1 · pith:4HFGIRPQ · submitted 2017-12-14 · math.DG · math.AP· math.CV

Compactness of K\"ahler metrics with bounds on Ricci curvature and I functional

Xiuxiong Chen , Tam\'as Darvas , Weiyong He This is my paper

pith:4HFGIRPQ open to challenge →

classification math.DG math.APmath.CV

keywords ahlerboundscompactnesscurvaturefunctionalmetricsricciapplications

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We prove a compactness theorem for K\"ahler metrics with various bounds on Ricci curvature and the $\mathcal I$ functional. We explore applications of our result to the continuity method and the Calabi flow.

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Compactness of K\"ahler metrics with bounds on Ricci curvature and I functional

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