Xujun Zhang

activity

20202025

collaborators

3 papers

math.CV2025

The union problem for domains with partial pseudoconvex boundaries

Jinjin Hu, Xujun Zhang

We show that a smooth bounded domain in $C^{n}$ admitting partial pseudoconvex exhaustion remains partial pseudoconvex. The main ingredient of the proof is based on a new ch…

math.DG2023

Positivity of Riemannian metric and the existence theorem of $L^{2}$ estimates for $d$ operator

Xujun Zhang

Apply the $L^{2}$ technique developed by Deng-Ning-Wang-Zhou,we give a new characterization of Nakano $q$ -positivity for Riemannian flat vector bundle in the sense of $L^{2}$ estimate…

math.CV2020

Characterization of Curvature positivity of Riemannian metrics on flat vector bundles

Fusheng Deng, Xujun Zhang

We give a characterization of Nakano positivity of Riemannian flat vector bundles over bounded domains $D \subset R^{n}$ in terms of solvability of the $d$ equation with certa…

The union problem for domains with partial pseudoconvex boundaries

Positivity of Riemannian metric and the existence theorem of L2 estimates for d operator

Characterization of Curvature positivity of Riemannian metrics on flat vector bundles

Positivity of Riemannian metric and the existence theorem of $L^{2}$ estimates for $d$ operator