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- W2601739015 abstract "We show that any compact half-conformally flat manifold of negative type, with bounded $L^2$ energy, sufficiently small scalar curvature, and a non-collapsing assumption, has all betti numbers bounded. We show that this result is optimal from an analytic perspective by demonstrating singularity models that are 2-ended, and are asymptotically Kahler on both ends. We show that bounded self-dual solutions of $domega=0$ on ALE manifold ends are either asymptotically Kahler, or they have a decay rate of $O(r^{-4})$ or better." @default.
- W2601739015 created "2017-04-07" @default.
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- W2601739015 date "2019-07-21" @default.
- W2601739015 modified "2023-09-28" @default.
- W2601739015 title "A Gap Theorem for Half-Conformally Flat Manifolds" @default.
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