... 三维空间的 three-dimensional 三维流形 three-dimensional manifold 三维欧几里得几何学 three-dimensional Euclidean geometry ...
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这就是庞加莱和瑟斯顿所说的三维流形:没有除了已发现的之外的任何流形存在。
This is what Poincaré and Thurston say about the world of 3-manifolds: there are no manifolds besides those which has been already discovered.
佩雷尔曼的工作揭示了瑞奇流定律——“三维板块构造理论”,它塑造了三维流形的世界。
Perelman's work revealed the laws of Hamilton's flow – the "3D-plate tectonics" which shaped the world of 3-manifolds.
佩雷尔曼的成就在于他实现了理查德·汉密尔顿的计划,从而揭示出三维流形空间的深邃的结构。
What Perelman has achieved is the fulfillment of Richard Hamilton's program, thus revealing a profound structure in the space of 3-manifolds.
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