Contributions to differential geometry of spacelike curves in Lorentzian plane L2

Abstract

‎In this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in Lorentzian plane $\mathbb{L}^{2}.$ Then the‎ ‎special curves mentioned above are studied in Lorentzian plane $\mathbb{L}%‎‎^{2}.$ Finally some characterizations of these special curves are given in‎ ‎$\mathbb{L}^{2}.$‎

Keywords

• spacelike curve
• lorentzian plane
• circular indicatrices
• smarandache curves
• curves of constant breadth