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math.DG2021
Canonical metrics and ambiKähler structures on 4-manifolds with symmetry
Keaton Naff, Brian Weber
For -invariant 4-metrics, we show that the -flat metrics are very different from the other canonical metrics (Bach-flat, Einstein, extremal Kähler, etc). We show every $…
math.DG2021
A local noncollapsing estimate for mean curvature flow
Simon Brendle, Keaton Naff
We prove a local version of the noncollapsing estimate for mean curvature flow. By combining our result with earlier work of X.-J. Wang, it follows that certain ancient convex solu…
math.DG2021
Uniqueness of compact ancient solutions to the higher dimensional Ricci flow
Simon Brendle, Panagiota Daskalopoulos, Keaton Naff +1
In this paper, we study the classification of -noncollapsed ancient solutions to n-dimensional Ricci flow on , extending the result in [13] to higher dimensions. We prove t…