On the κ-solutions of the Ricci flow on noncompact 3-manifolds

On the κ-solutions of the Ricci flow on noncompact 3-manifolds

In this paper we prove that there is no κ-solution of Ricci flow on 3-dimensional noncompact manifold with strictly positive sectional curvature and blow up at some finite time T satisfying ∫0TT−tR(p0,t)dt

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2020-09, Vol.371, p.107247, Article 107247
Hauptverfasser: Cheng, Liang, Zhu, Anqiang
Format: Artikel
Sprache:eng
Schlagworte:
Noncompact 3-manifold
Perelman's conjecture
Ricci flow
κ-solution
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Zusammenfassung:In this paper we prove that there is no κ-solution of Ricci flow on 3-dimensional noncompact manifold with strictly positive sectional curvature and blow up at some finite time T satisfying ∫0TT−tR(p0,t)dt
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2020.107247