论文标题
卡拉比YAU指标的非唯一性，其体积最大增长
Nonuniqueness of Calabi-Yau metrics with maximal volume growth
论文作者
论文摘要
我们在$ \ mathbf {c}^3 $渐近地构建了一个不等的calabi-yau指标，因为这些指标中的任何两个都不能通过缩放和生物敏感性相关。这提供了Calabi-yau指标家族渐近锥体在无穷大的固定切线渐变锥的第一个例子，同时使基础的复杂结构保持固定。我们提出了对SzékelyHidi的猜想的改进，以解决此类指标的分类。
We construct a family of inequivalent Calabi-Yau metrics on $\mathbf{C}^3$ asymptotic to $\mathbf{C} \times A_2$ at infinity, in the sense that any two of these metrics cannot be related by a scaling and a biholomorphism. This provides the first example of families of Calabi-Yau metrics asymptotic to a fixed tangent cone at infinity, while keeping the underlying complex structure fixed. We propose a refinement of a conjecture of Székelyhidi addressing the classification of such metrics.
