论文标题
在无限复杂接触歧管的无效曲面的几何形状上
On the geometry of null hypersurfaces of indefinite complex contact manifolds
论文作者
论文摘要
我们研究了不确定复杂的接触歧管中无效曲面的几何形状。我们证明了各种众所周知的零空心表面的分类结果，包括完全脐带，完全筛选的脐带和屏幕保形。此外，如果底层空脱落表面完全接触，完全接触屏幕脐带或接触屏幕保形，则给出了环境空间的特征，即我们已经证明，环境复杂触点歧管必须是恒定的$ GH $ -GH $ -Sectional-Sectional Curvature $ -3 $ $ -3 $。
We study the geometry of null hypersurfaces in indefinite complex contact manifolds. We prove several classification results for a variety of well-known null hypersurfaces, including the totally umbilic, totally screen umbilic, and the screen conformal ones. Furthermore, a characterization of the ambient space is given in case the underlying null hypersurface is totally contact umbilic, totally contact screen umbilic or contact screen conformal, i.e. we have proved that the ambient complex contact manifold must be a space of constant $GH$-sectional curvature of $-3$.
