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
Scalar curvature rigidity of parabolic convex polytopes in hyperbolic space
Xiaoxiang Chai, Xueyuan Wan
In odd dimensions, we prove a scalar curvature rigidity for parabolic convex polytopes in hyperbolic space enclosed by linear planes in the Poincare upper half-space model and conv…