On pseudo null Bertrand curves in Minkowski space-time

Abstract

In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k<inf>1</inf>(s) = 1, k<inf>2</inf>(s) ? 0 and k<inf>3</inf>(s) other than itself in Minkowski spacetime E4<inf>1</inf> and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1; 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1; 3)-Bertrand curves in Minkowski spacetime.