论文标题
几何形状的几何化
Geometrization in Geometry
论文作者
论文摘要
到目前为止，21世纪数学上最宏伟的突破是《几何定理》，这是威廉·瑟斯顿（William Thurston）的大胆猜想（概括了庞加莱的猜想），并由格里格里·佩雷尔曼（Grigory Perelman）证明，基于理查德·汉密尔顿（Richard Hamilton）所建议的计划。在这篇调查文章中，我们将解释该结果的陈述，还提供了一些可以用于在差异几何形状中获得有趣结果的示例。
So far, the most magnificent breakthrough in mathematics in the 21st century is the Geometrization Theorem, a bold conjecture by William Thurston (generalizing Poincaré's Conjecture) and proved by Grigory Perelman, based on the program suggested by Richard Hamilton. In this survey article, we will explain the statement of this result, also presenting some examples of how it can be used to obtain interesting results in differential geometry.
