2 papers
math.DG2024
Liouville theorems for harmonic 1-forms on gradient Ricci solitons
Chenghong He, Di Wu, Xi Zhang
We prove that there is no nontrivial -integrable harmonic 1-form on noncompact complete gradient steady Ricci solitons or noncompact complete gradient shrinking Kähler-Ricci s…
math.DG2024
Hermitian-Einstein equations on noncompact manifolds
Di Wu, Xi Zhang
This paper first investigates solvability of Hermitian-Einstein equation on a Hermitian holomorphic vector bundle on the complement of an arbitrary closed subset in a compact Hermi…