论文标题
耦合Kähler-Einstein指标的变形
Deformation for coupled Kähler-Einstein metrics
论文作者
论文摘要
Hultgren-Wittnyström最近提出了耦合Kähler-Einstein指标的概念。在本文中，我们讨论了Fano歧管上耦合的Kähler-Einstein指标的变形。特别是，我们获得了耦合的Kähler-Einstein度量标准的必要条件，可以将其变形为另一个耦合的Kähler-Einstein指标，用于fano歧管，该歧管承认非平凡的骨膜载体场。此外，当复杂结构变化时，我们还讨论了Fano歧管上耦合的Käher-Einstein度量的变形。
The notion of coupled Kähler-Einstein metrics was introduced recently by Hultgren-WittNyström. In this paper we discuss deformation of a coupled Kähler-Einstein metrics on a Fano manifold. In particular we obtain a necessary and sufficient condition for a coupled Kähler-Einstein metric to be deformed to another coupled Kähler-Einstein metric for a Fano manifold admitting non-trivial holomorphic vector fields. In addition we also discuss deformation for a coupled Käher-Einstein metric on a Fano manifold when the complex structure varies.
