On the structure of Ricci shrinkers
… We develop a structure theory for non-collapsed Ricci shrinkers without any curvature
condition. As applications, we obtain some curvature estimates of the Ricci shrinkers
depending only on the non-collapsing constant. … By the Ricci shrinker equation on R ( M
∞ ) , we obtain Hess f ∞ = g ∞ 2 . The high codimension of S ( M ∞ ) and the regularity of R
( M ∞ ) then implies that M ∞ is a metric cone. In particular, M ∞ contains a point z ∞ which
has very large harmonic radius. …
condition. As applications, we obtain some curvature estimates of the Ricci shrinkers
depending only on the non-collapsing constant. … By the Ricci shrinker equation on R ( M
∞ ) , we obtain Hess f ∞ = g ∞ 2 . The high codimension of S ( M ∞ ) and the regularity of R
( M ∞ ) then implies that M ∞ is a metric cone. In particular, M ∞ contains a point z ∞ which
has very large harmonic radius. …
Abstract
We develop a structure theory for non-collapsed Ricci shrinkers without any curvature condition. As applications, we obtain some curvature estimates of the Ricci shrinkers depending only on the non-collapsing constant.
Elsevier
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