The Geometrical Characterizations of the Bertrand Curves of the Null Curves in Semi-Euclidean 4-Space

Author:

Sun JianguoORCID,Zhao Yanping

Abstract

According to the Frenet equations of the null curves in semi-Euclidean 4-space, the existence conditions and the geometrical characterizations of the Bertrand curves of the null curves are given in this paper. The examples and the graphs of the Bertrand pairs with two different conditions are also given in order to supplement the conclusion of this paper more intuitively.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference18 articles.

1. Semi-Riemannian Geometry with Application to Relativity;O’neill,1983

2. Singular Special Curves in 3-Space Forms

3. Null Curves and Hypersurfaces of Semi-Riemannian Manifolds;Duggal,2007

4. Null surfaces of null curves on 3-null cone

5. Null Cartan Bertrand curves of AW(k)-type in Minkowski 4-space

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