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

Tam\'as Darvas; Weiyong He; Xiuxiong Chen

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

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

Xiuxiong Chen , Tamás Darvas , Weiyong He This is my paper · ORCID

classification math.DGmath.APmath.CV

keywords ahlerboundscompactnesscurvaturefunctionalmetricsricciapplications

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abstract

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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