4 papers
On the geometry of asymptotically conical Ricci shrinkers (I): weighted analysis
Yu Li, Longhuan Yan, Wenjia Zhang
We develop the weighted Sobolev and Hölder analysis needed to study perturbations of complete asymptotically conical (AC) Ricci shrinkers. Weighted elliptic estimates yield a globa…
Uniqueness of Kähler Ricci shrinkers on toric orbifolds
Yu Li, Wenjia Zhang
In this paper, we prove the uniqueness of Kähler Ricci shrinkers on toric orbifolds, extending the corresponding results previously established for toric manifolds.
On the rigidity of Ricci shrinkers
Yu Li, Wenjia Zhang
In this paper, we establish the rigidity of the generalized cylinder , or a quotient thereof, in the space of Ricci shrinkers equipped with the pointed-…
Rigidity of complex projective spaces in Ricci shrinkers
Yu Li, Wenjia Zhang
In this paper, we prove that any Ricci shrinker that is sufficiently close to in the Gromov-Hausdorff sense must itself be isometric to $(\mathbb C P^N,g_{…