论文标题
低维中几何跃迁的示例
Examples of geometric transition in low dimensions
论文作者
论文摘要
本说明的目的是讨论从双曲线结构到半管和抗DE保姆结构的几何跃迁示例，在二，三，四。作为热身，提出了向欧几里得和球形结构过渡的明确例子。这里没有新的结果出现；也没有针对详尽的治疗。另一方面，提供了一些基本计算的细节来解释涉及的某些技术。本说明，尤其是最后一部分，也可以作为[RS19]四维结构背后的思想的介绍。
The purpose of this note is to discuss examples of geometric transition from hyperbolic structures to half-pipe and Anti-de Sitter structures in dimensions two, three and four. As a warm-up, explicit examples of transition to Euclidean and spherical structures are presented. No new results appear here; nor an exhaustive treatment is aimed. On the other hand, details of some elementary computations are provided to explain certain techniques involved. This note, and in particular the last section, can also serve as an introduction to the ideas behind the four-dimensional construction of [RS19].
