论文标题

球锥:分类和体积最小化原理

Spherical cones: classification and a volume minimization principle

论文作者

Nghiem, Tran-Trung

论文摘要

使用一种变异方法,我们建立了加权体积最小化原理与具有轻度奇异性的霍斯磷锥上的锥形calabi-yau结构之间的等效性。这使我们能够对由级别两个对称空间产生的示例进行明确的计算,显示了许多不规则的霍斯磷锥。

Using a variational approach, we establish the equivalence between a weighted volume minimization principle and the existence of a conical Calabi-Yau structure on horospherical cones with mild singularities. This allows us to do explicit computations on the examples arising from rank-two symmetric spaces, showing the existence of many irregular horospherical cones.

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