Affiliation:
1. School of Mathematics and Statistics Central China Normal University Wuhan Hebei China
2. School of Mathematical Sciences Shanghai Jiao Tong University Shanghai China
Abstract
AbstractIn this paper, we study complete Type I ancient Ricci flows with positive sectional curvature. Our main results are as follows: in the complete and noncompact case, all such ancient solutions must be noncollapsed on all scales; in the closed case, if the dimension is even, then all such ancient solutions must be noncollapsed on all scales. This furthermore gives a complete classification for three‐dimensional noncompact Type I ancient solutions without assuming the noncollapsing condition.
Funder
National Natural Science Foundation of China
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