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arxiv: 1709.03192 · v1 · pith:43J4ZXDSnew · submitted 2017-09-10 · 🧮 math.DG · math.AP

Yamabe Flow: steady solitons and type II singularities

classification 🧮 math.DG math.AP
keywords yamabeflowsingularitiessolitonssteadytypecompleteconformally
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We study the convergence of complete non-compact conformally flat solutions to the Yamabe flow to Yamabe steady solitons. We also prove the existence of Type II singularities which develop at either a finite time $T$ or as $t \to +\infty$.

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