论文标题
nullKähler几何形状和异构粒细胞变形
Null Kähler geometry and isomonodromic deformations
论文作者
论文摘要
我们构建了null-kähler指标的正常形式：伪 - 利马尼亚指标，该指标承认切线束的兼容平行nilpotent内态。这样的指标是非里曼尼亚人全能降低的例子，并且（在复杂的环境中）出现在卡拉比野野模量三倍的bridgeland稳定性条件下。 使用Twistor方法，我们表明，在第四维（与分散性集成性之间存在联系的情况下），共同体 - 一个反自我的二极管null-kähler指标通常以painlevéI或ParachlevéIIodes的解决方案为特征。
We construct the normal forms of null-Kähler metrics: pseudo-Riemannian metrics admitting a compatible parallel nilpotent endomorphism of the tangent bundle. Such metrics are examples of non-Riemannian holonomy reduction, and (in the complexified setting) appear in the Bridgeland stability conditions of the moduli spaces of Calabi-Yau three-folds. Using twistor methods we show that, in dimension four - where there is a connection with dispersionless integrability - the cohomogeneity-one anti-self-dual null-Kähler metrics are generically characterised by solutions to Painlevé I or Painlevé II ODEs.
