Osculating curves in 4-dimensional semi-Euclidean space with index 2

Abstract

In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves. Also we give some examples of non-null osculating curves in E24 $\mathbb{E}_{2}^{4}$ .

Keywords

• semi-euclidian space
• spacelike and timelike curves
• osculating curve
• curvature
• 53c40
• 53c50