论文标题
不变的calabi-yau结构在刺穿的综合对称空间上
Invariant Calabi-Yau structures on punctured complexified symmetric spaces
论文作者
论文摘要
在本文中，我们表明$ G $ -INVARIANT CALABI-YAU结构$ G^{\ Mathbb C}/k^{\ Mathbb C} $ symmetric Space $ G/K $紧凑型类型的类型是由Monge-Amp $ \ frive的解决方案构建的，该类型是由monge-amp $ \ frive \ frive \ frive of formange o。此外，如果$ g/k $等于一两个，我们对Monge-Amp $ \ grave {\ rm e} $ re type等式进行明确描述。此外，我们证明了Monge-Amp $ \ grave {\ rm e} $ re type方程的解决方案的存在。
In this paper, we show that $G$-invariant Calabi-Yau structures on the complexification $G^{\mathbb C}/K^{\mathbb C}$ of a symmetric space $G/K$ of compact type are constructed from solutions of a Monge-Amp$\grave{\rm e}$re type equation. Also, we give an explicit descriptions of the Monge-Amp$\grave{\rm e}$re type equation in the case where the rank of $G/K$ is equal to one or two. Furthermore, we prove the existence of solutions of the Monge-Amp$\grave{\rm e}$re type equation.
