Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow

2019/06/27 by Angenent, Sigurd, Daskalopoulos, Panagiota, Sesum, Natasa
#35K93 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.11967

Abstract

We consider compact noncollapsed ancient solutions to the 3-dimensional Ricci flow that are rotationally and reflection symmetric. We prove that these solutions are either the spheres or they all have unique asymptotic behavior as t→-∞ and we give their precise asymptotic description. This description applies in particular to the solution constructed by G.Perelman

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