S^(2)×S^(2)中具有常Jordan角局部共形平坦超曲面

The Locally Conformal Flat Hypersurfaces with Constant Jordan Angle in S^(2)× S^(2)

利用活动标架法研究S^(2)×S^(2)中具有常Jordan角的局部共形平坦超曲面.给出S^(2)×S^(2)中具有常Jordan角局部共形平坦超曲面的刻画定理;及S^(2)×S^(2)中具有常Jordan角的常数量曲率局部共形平坦超曲面的分类定理.

Using the moving frame methods, we study the locally conformal flat hypersurfaces with constant Jordan angle in S^(2)×S^(2),giving the characterization theorem of the locally conformal flat hypersurfaces with constant Jordan angle in S^(2)×S^(2)and obtaining classification theorem of constant Jordan angle locally conformal flat hypersurfaces with constant scalar curvature in S^(2)×S^(2).