论文标题
扭转指标的强kähler变形
Deformations of Strong Kähler with torsion metrics
论文作者
论文摘要
在复杂的歧管上，具有扭转指标的强kähler存在已被证明在较小的变形下是不稳定的。我们发现，SKT属性稳定的必要条件对于赫尔米亚度量指标的平滑曲线$ \ {ω_t\} _ t $等于固定的SKT Metric $ω$ for $ t = 0 $，沿着复杂的流形的$ \ \ \ {m_t \} _ t $的相互微分流形的家族。
Existence of strong Kähler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics $\{ω_t\}_t$ which equals a fixed SKT metric $ω$ for $t=0$, along a differentiable family of complex manifolds $\{M_t\}_t$.
