Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres


Authors

Jianguo Sun - School of Science, China University of Petroleum (east China), Qingdao, 266555, P. R. China. Donghe Pei - School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China.


Abstract

The 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 null curves on 3-null cone and unit semi-Euclidean 3-spheres, respectively. On the other hand, we give the existence conditions of null Bertrand curves on 3-null cone and unit semi-Euclidean 3-spheres.


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ISRP Style

Jianguo Sun, Donghe Pei, Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 3, 275--284

AMA Style

Sun Jianguo, Pei Donghe, Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres. J. Nonlinear Sci. Appl. (2015); 8(3):275--284

Chicago/Turabian Style

Sun, Jianguo, Pei, Donghe. "Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres." Journal of Nonlinear Sciences and Applications, 8, no. 3 (2015): 275--284


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