具非负曲率的紧致非单连通流形

Non-simply Connected Compact Manifold with Nonnegative Curvature

讨论了紧致非单连通的具非负曲率的流形的一些几何性质,并应用它们证明了具非负曲率的紧致非单连通曲面必为平坦的.

The paper discusses some geometric properties of a non-simply connected compact manifold with nonnegative Curvature.With the help of them,it can be proved that the non-simply connected compact surface with nonnegative curvature must be flat.