Xiaokui Yang

activity

20102020

most citedProjective manifolds whose tangent bundle contains a strictly nef subsheaf

4 citations · 11 across the 6 of their papers we have counts for

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8 papers · 1 filter

math.DG2020★ 2 cited

Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature

Xiaokui Yang

Let $X$ be a compact Kähler manifold. We prove that if $X$ admits a smooth Hermitian metric $ω$ with quasi-positive second Chern-Ricci curvature $Ric^{(2)} (ω)$ , then $X$ i…

math.DG2019

Curvatures of real connections on Hermitian manifolds

Jun Wang, Xiaokui Yang

Let $(M, g, J)$ be a Riemannian manifold with a compatible integrable complex structure $J \in End (T_{R} M)$ and $A_{g, J}$ be the space of real connections on…

math.DG2018

RC-positivity and the generalized energy density I: Rigidity

Xiaokui Yang

In this paper, we introduce a new energy density function $Y$ on the projective bundle $P (T_{M}) M$ for a smooth map $f : (M, h) (N, g)$ between Riemannian manifolds…

math.DG2018

RC-positivity and rigidity of harmonic maps into Riemannian manifolds

Jun Wang, Xiaokui Yang

In this paper, we show that every harmonic map from a compact Kähler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curv…

math.DG2018

RC-positivity and scalar-flat metrics on ruled manifolds

Jun Wang, Xiaokui Yang

Let $X$ be a ruled surface over a curve of genus $g$ . We prove that $X$ has a scalar-flat Hermitian metric if and only if $g \geq 2$ and $m (X) > 2 - 2 g$ where $m (X)$ is an intrinsic num…

math.DG2018

Levi-Civita Ricci-flat metrics on compact complex manifolds

Jie He, Kefeng Liu, Xiaokui Yang

In this paper, we study the geometry of compact complex manifolds with Levi-Civita Ricci-flat metrics and prove that compact complex surfaces admitting Levi-Civita Ricci-flat metri…