3 papers
math.DG2026
Holomorphic functions on complete Hermitian manifolds with flat Chern connection
Zeqing Miao, Hanyu Wu, Bo Yang
A classical result of Boothby states that any compact Hermitian manifold with flat Chern connection is covered by a complex Lie group. In this work, we prove a sharp generalization…
math.DG2025
Negatively curved Kähler metrics on total spaces of a class of vector bundles
Hanyu Wu, Bo Yang
In this paper we show an abundance of complete Kähler metrics with negative holomorphic bisectional curvature on total spaces of certain vector bundles. Assume that such total spa…
math.DG2025
Kähler geometry on total spaces of vector bundles over elliptic curves
Hanyu Wu, Bo Yang
We study function theory and Kähler geometry on total spaces of vector bundles on an elliptic curve. For rank two vector bundles of degree zero, we show that any two total spaces…