2 papers
math.CV2026
Hölder Regularity of Dirichlet Problem For The Complex Monge-Ampère Equation
Yuxuan Hu, Bin Zhou
We study the Dirichlet problem for the complex Monge-Ampère equation on a strictly pseudoconvex domain in Cn or a Hermitian manifold. Under the condition that the right-hand side…
math.DG2025
A topological rigidity theorem on noncompact Hessian manifolds
Hanzhang Yin, Bin Zhou
In this work, we obtain a short time solution for a geometric flow on noncompact affine Riemannian manifolds. Using this result, we can construct a Hessian metric with nonnegative…