Null surfaces of null curves on 3-null cone

作者：Sun, Jianguo; Pei, Donghe^*

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2014, 378(14-15): 1010-1016.

DOI：10.1016/j.physleta.2014.02.002

• Singularity
• Null surface
• Null curve
• Wave front set

The null surfaces of null curves on 3-null cone have the applications in the studying of horizon types. Via the pseudo-scalar product and Frenet equations, the differential geometry of null curves on 3-null cone is obtained. In the local sense, the curvature describes the contact of submanifolds with pseudo-spheres. We introduce the geometric properties of the curvatures and show the singularities of null surfaces, which are constructed over the null curves.

• 出版日期2014-3-7
• 单位中国石油大学（华东）; 东北师范大学