4 papers
Rigidity and gap theorems for Ricci shrinkers
Pak-Yeung Chan, Yongjia Zhang
We prove local versions of the Ricci curvature and -entropy gap theorems for Ricci shrinkers, which respectively generalize a previous result of Munteanu-Wang and a prior resul…
Higher-dimensional flying wing Steady Ricci Solitons
Pak-Yeung Chan, Yi Lai, Man-Chun Lee
For any , we construct an -parameter family of steady gradient Ricci solitons with non-negative curvature operator and prescribed by the eigenvalues of Ricci tensor…
Curvature estimates for steady and expanding solitons in higher dimensions
Pak-Yeung Chan, Ming Hsiao
In this paper, we demonstrate certain curvature estimates on complete non-compact steady and expanding gradient Ricci solitons in higher dimensions. In the expanding case, we prove…
On the weakly conical expanding gradient Ricci solitons
Pak-Yeung Chan, Man-Chun Lee
In this work, we construct several sequences of metrics on sphere with different limiting behaviors. By combining with the work of Deruelle, we use it and the localized maximum pri…