论文信息 - Hypersurfaces with constant scalar curvature

Hypersurfaces with constant scalar curvature

Let M be a complete two-dimensional surface immersed into the three-dimensional Euclidean space. Then a classical theorem of Hilbert says that when the curvature of M is a non-zero constant, M must be the sphere. On the other hand, when the curvature of M is zero, a theorem of Har tman-Nirenberg [4] says that M must be a plane or a cylinder. These two theorems complete the classification of complete surfaces with constant curvature in R 3.

Shing-Tung Yau | S. Yau | Shiu-yuen Cheng | Shiu-Yuen Cheng

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