3 papers
math.DG2023
A short proof of the surjectivity of the period map on K3 manifolds
Hongyi Liu
In this note, we give a simple proof of the Todorov's surjectivity result on the period map of K3 surfaces in a differential geometric setting. Our proof makes use of collasping ge…
math.DG2022
A compactness theorem for hyperkaehler 4-manifolds with boundary
Hongyi Liu
In this paper, we study the compactness of a boundary value problem for hyperkaehler 4-manifolds. We show that under certain topological conditions and the positive mean curvature…
math.OC2021
Constrained Optimization Involving Nonconvex Norms: Optimality Conditions, Algorithm and Convergence
Hao Wang, Yining Gao, Jiashan Wang +1
This paper investigates the optimality conditions for characterizing the local minimizers of the constrained optimization problems involving an norm () of the varia…