Characterizations of special time-like curves in Lorentzian plane L-2

Abstract

In this paper, we first obtain the differential equation characterizing position vector of time-like curve in Lorentzian plane L-2. Then we study the special curves such as Smarandache curves, circular indicatrices, and curves of constant breadth in Lorentzian plane L-2. We give some characterizations of these special curves in L-2.