Degeneration of shrinking Ricci solitons
classification
🧮 math.DG
keywords
riccishrinkingboundedclosedsolitonscodimensiondegenerationdiameter
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Let $(Y,d)$ be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, $Y$ is a smooth manifold satisfying a shrinking Ricci soliton equation.
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