On locally conformally Kähler threefolds with algebraic dimension two

紧致平衡三维簇与具有常全纯截面曲率的LCK流形

Compact balanced threefolds and LCK manifolds with constant holomorphic sectional curvature

该研究验证了$c\leq0$时紧致平衡三维簇满足埃尔米特几何中关于常陈全纯截面曲率的长期猜想，还将该猜想推广到典范度量联络情形并对连通紧致LCK流形成立。

非Kähler Calabi-Yau几何在三维空间中的刚性结果

Rigidity results for non-Kähler Calabi-Yau geometries on threefolds

本文研究了非Kähler Calabi-Yau几何在三维空间中的刚性性质，通过规范对称性降低和单标量PDE描述，证明了Bott-Chern数的下界及特定度量下的等号条件。

Stability of the tangent bundle through conifold transitions

Let $X$ be a compact, Kähler, Calabi-Yau threefold and suppose $X\mapsto \underline{X}\leadsto X_t$ , for $t\in Δ$, is a conifold transition obtained by contracting finitely many disjoint $(-1,-1)$ curves in $X$ and then smoothing the resulting ordinary double point singularities. We show that, for $|t|\ll 1$ sufficiently small, the tangent bundle $T^{1,0}X_{t}$ admits a Hermitian-Yang-Mills metric $H_t$ with respect to the conformally balanced metrics constructed by Fu-Li-Yau. Furthermore, we describe the behavior of $H_t$ near the vanishing cycles of $X_t$ as $t\rightarrow 0$.