Jianyu Ou

activity

20172022

collaborators

4 papers

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.CV2021

Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis

Weixiong Mai, Jianyu Ou

In this paper we establish the three balls theorem for functions $u$ satisfying $D u = λ u$ in Clifford analysis, where $D$ is the Dirac operator. As an application, we generalize Hada…

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 $R^{n}$ . In addtion, w…

math.DG2017

Symplectic aspects of polar actions

Xiaoyang Chen, Jianyu Ou

An isometric compact group action $G \times (M, g) \to (M, g)$ is called polar if there exists a closed embedded submanifold $Σ \subseteq M$ which meets all orbits orthogonall…