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arxiv: 0902.1545 · v1 · submitted 2009-02-10 · 🧮 math.DG

Space of Ricci flows (I)

classification 🧮 math.DG
keywords moduliricciflowspacespacesahlerapplybounded
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In this paper, we study the moduli spaces of noncollapsed Ricci flow solutions with bounded energy and scalar curvature. We show a weak compactness theorem for such moduli spaces and apply it to study isoperimetric constant control, K\"ahler Ricci flow and moduli space of gradient shrinking solitons.

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