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arXiv 2018-01-26 1 views

The Nonexistence of Noncompact Type-I Ancient 3-d κ-Solutions of Ricci Flow with Positive Curvature

Hallgren, Max

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In this short paper, we show there do not exist three-dimensional noncompact κ-solutions of Ricci flow that have positive curvature and satisfy a Type-I bound. This represents progress towards the proof of Perelman's conjecture that the only complete noncompact three-dimensional κ-solution with positive curvature is the Bryant soliton.

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