论文标题
在非弹性复杂空间形式的统治性超曲面上的一些问题
Some problems on ruled hypersurfaces in nonflat complex space forms
论文作者
论文摘要
我们研究了统治实际的超曲面，其形状运算符具有非弹性复合空间形式的恒定平方规范。特别是，我们证明了这种透明的情况下这种超曲面的不存在。我们还表明，在非Flat复杂空间形式中，Biharmonic统治了实际的超曲面，这是最小的，由于Lohnherr和Reckziegel的已知结果，其分类提供了分类。
We study ruled real hypersurfaces whose shape operators have constant squared norm in nonflat complex space forms. In particular, we prove the nonexistence of such hypersurfaces in the projective case. We also show that biharmonic ruled real hypersurfaces in nonflat complex space forms are minimal, which provides their classification due to a known result of Lohnherr and Reckziegel.
