If that is the case, Perelman will have taught us not only about the shapes of abstract 3-spaces but also about the shape of the particular space in which we live.

• 如果有帮助，帕瑞尔曼所教导我们的，就不仅和抽象三维空间的形状有关，而且和我们所处的这个空间形状有关。