82 citations · 404 across the 40 of their papers we have counts for
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Hermitian manifolds with semi-positive holomorphic sectional curvature
Xiaokui Yang
We prove that a compact Hermitian manifold with semi-positive but not identically zero holomorphic sectional curvature has Kodaira dimension . As applications, we show tha…
Big vector bundles and compact complex manifolds with semi-positive tangent bundles
Xiaokui Yang
We classify compact Kähler manifolds with semi-positive holomorphic bisectional and big tangent bundles. We also classify compact complex surfaces with semi-positive tangent bundle…
Rational curves on Hermitian manifolds
Huitao Feng, Kefeng Liu, Xueyuan Wan +1
By using analytic method, we prove that there exist rational curves on compact Hermitian manifolds with positive holomorphic bisectional curvature. It confirms a question of S.-T.…
The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits
Valentino Tosatti, Ben Weinkove, Xiaokui Yang
We investigate the Kahler-Ricci flow on holomorphic fiber spaces whose generic fiber is a Calabi-Yau manifold. We establish uniform metric convergence to a metric on the base, away…
Ricci Curvatures on Hermitian manifolds
Kefeng Liu, Xiaokui Yang
In this paper, we introduce the first Aeppli-Chern class for complex manifolds and show that the - component of the curvature -form of the Levi-Civita connection on the a…
Hermitian Harmonic maps and non-degenerate curvatures
Kefeng Liu, Xiaokui Yang
In this paper, we study the existence of various harmonic maps from Hermitian manifolds to Kaehler, Hermitian and Riemannian manifolds respectively. By using refined Bochner formul…