NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE

Abstract

In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3. Next, we derive certain results for non-null general helices and pseudospherical curves to satisfy Tzitzeica condition in E_1^3. Further, we interest Tzitzeica pseudospherical indicatrices of a spacelike curve in E_1^3 .

Keywords

• Tzitzeica curve
• Rectifying curve
• General helix
• Pseudosphere
• Minkowski space