论文标题
dirac操作员在灯光般的超曲面上
Dirac operators on lightlike hypersurfaces
论文作者
论文摘要
在这项研究中,我们获得了带有4维的Lorentzian歧管中的轻度超表面的旋转高斯公式。然后,我们考虑了由脱落表面上的退化度量引起的变化,并研究了dirac操作员的灯光型超露外表面。后来,我们建立了狄拉克操作员与歧管和高表面的Riemannian曲线之间的关系。
In this study, we obtain a spinorial Gauss formula for a lightlike hypersurface in Lorentzian manifold with 4-dimension. Then, we take into account the changes caused by degenerate metric on hypersurface and investigate Dirac operator for lightlike hypersurface. Later, we establish the relation between Dirac operators and Riemannian curvatures of manifold and hypersurface.