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math.DG2022
Liouville Theorem on Ricci shrinkers with constant scalar curvature and its application
Weixiong Mai, Jianyu Ou
In this paper we consider harmonic functions on gradient shrinking Ricci solitons with constant scalar curvature. A Liouville theorem is proved without using gradient estimate : an…
math.DG2019
Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons
Weixiong Mai, Jianyu Ou
We prove rigidity theorems for shrinking gradient Ricci solitons supporting the Heisenberg-Pauli-Weyl uncertainty principle with the sharp constant in . In addtion, w…