摘要
本文举出了空间形式中柱形直纹超曲面的例子,讨论了空间形式中柱形直纹超曲面的性质和爱因斯坦黎曼流形中柱形直纹超曲面族的存在性问题.
In this pape we enumerate a cylindric ruled hypersurface in a space form, consider its character and discuss the existence theorem of a cylindric ruled hypersurface in a Einstein Riemannian manifold
关键词
柱形直纹超曲面
主方向
主曲率
空间形式
爱因斯坦黎曼流形
cylindric ruled hypersurface
principal direction
principal curvature
Einstein Riemannian manifold