Liang Cheng, Yongjia Zhang
Published 2021-02-06Version 1
In this article, 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.
Ancient solutions of geometric flows with curvature pinching
Type II ancient solutions to the Ricci flow on surfaces
On the classification of ancient solutions to curvature flows on the sphere
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