3 papers
math.DG2026
Compact locally conformal Kähler manifolds with constant Chern holomorphic sectional curvature
Zhuzhu Huang, Xueyuan Wan
We prove the Chern version of the constant holomorphic sectional curvature conjecture for compact locally conformal Kähler manifolds. More precisely, let , , be a…
math.DG2026
Llarull type theorems for bands in Three and Four dimensions
Xiaoxiang Chai, Xueyuan Wan
Llarull's theorem asserts that the scalar curvature and the metric on the -sphere cannot be bounded below at the same time by those of the standard -sphere. Using the warped…
math.DG2024
Initial data set rigidity results for polyhedra
Xiaoxiang Chai, Xueyuan Wan
Using spinors, we show a dihedral type rigidity for polyhedral initial data sets. This rigidity connects spacetime positive mass theorem, dihedral rigidity and capillary marginally…