论文标题
复杂的投影空间中规定的实际超曲面的新特征
New characterizations of ruled real hypersurfaces in complex projective space
论文作者
论文摘要
我们认为真正的Hypersurfaces $ M $在复杂的投影空间中，配备了Levi-Civita和广义的Tanaka-Webster连接。对于任何非供电常数$ k $和$ m $上的类型（1,1）$ l $的任何对称张量字段，我们可以在$ m $，$ m $，$ l_f^{（k）} $和$ l_t^{（k）} $上定义两个类型（1,2）的张量（1,2），与这两种连接有关。我们研究了结构运算符$ ϕ $相对于此类张量字段的行为，在$ L = a $的特定情况下，$ m $的形状运算符，并在复杂的投影空间中获得了一些新的统治真实超曲面的特征。
We consider real hypersurfaces $M$ in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any nonnull constant $k$ and any symmetric tensor field of type (1,1) $L$ on $M$ we can define two tensor fields of type (1,2) on $M$, $L_F^{(k)}$ and $L_T^{(k)}$, related to both connections. We study the behaviour of the structure operator $ϕ$ with respect to such tensor fields in the particular case of $L=A$, the shape operator of $M$, and obtain some new characterizations of ruled real hypersurfaces in complex projective space.
