4 papers
Holomorphic functions on complete Hermitian manifolds with flat Chern connection, II
Duoxin Li, Hanyu Wu, Bo Yang
In this paper, we prove several results concerning the function theory of complete Hermitian manifolds with vanishing Chern curvature, which we refer to as complete Chern-flat mani…
Holomorphic functions on a class of complete Hermitian manifolds
Zeqing Miao, Hanyu Wu, Bo Yang
In this paper, we prove a gradient estimate for holomorphic functions on complete Hermitian manifolds with nonnegative second Ricci curvature. As an application, we establish sever…
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 over an elliptic curve. Our main result characterizes the vector bundles whose total spaces admit com…
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 spac…