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math.DG2010★ 3 cited
Geometry of Hermitian manifolds
Kefeng Liu, Xiaokui Yang
On Hermitian manifolds, the second Ricci curvature tensors of various metric connections are closely related to the geometry of Hermitian manifolds. By refining the Bochner formula…
math.DG2010★ 4 cited
Positivity and vanishing theorems for ample vector bundles
Kefeng Liu, Xiaofeng Sun, Xiaokui Yang
In this paper, we study the Nakano-positivity and dual-Nakano-positivity of certain adjoint vector bundles associated to ample vector bundles. As applications, we get new vanishing…