This analysis reveals a Ricci flow with surgery causing topology change in CP^2, suggesting convergence to the Taub-NUT metric.
This paper shows for the first time the existence of a Ricci flow with surgery with local topology change CP^2\{ pt\} → R^4. The post surgery flow converges to the Taub-NUT metric on R^4 in infinite time.
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John Hughes (2025) studied this question.
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