论文标题
高空曲面和HOPF引理的对称性
Symmetry of hypersurfaces and the Hopf Lemma
论文作者
论文摘要
A.D. Alexandrov的经典定理说，具有恒定平均曲率的欧几里得空间中连接的紧凑型超表面必须是一个球体。我们对具有有序的平均曲率和HOPF引理相关变化的Hypersurfaces的对称性能进行了一些结果。将讨论一些开放问题。
A classical theorem of A.D. Alexandrov says that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere. We give exposition to some results on symmetry properties of hypersurfaces with ordered mean curvature and associated variations of the Hopf Lemma. Some open problems will be discussed.
