Null surfaces of null curves on 3-null cone

Jianguo Sun,Donghe Pei

doi:10.1016/j.physleta.2014.02.002

Null surfaces of null curves on 3-null cone

Jianguo Sun, Donghe Pei

https://doi.org/10.1016/j.physleta.2014.02.002

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Journal: Physics Letters A	Publication Date: Feb 10, 2014
Citations: 17

Affiliation: Northeast Normal University, China University of Petroleum, East China

#Frenet Equations #Null Curves + Show 8 more

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Abstract

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.

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