5 papers · 1 filter
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…
Scalar curvature of blow-ups of compact Kähler manifolds along complex submanifolds
Zeqing Miao, Bo Yang
Let be a compact Kähler manifold with its scalar curvature , Assume that has complex dimension at least and contains a complex submanifold of complex codi…
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…
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 a…
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…