I.Geometri Sempozyumu, Elazığ, Türkiye, 3 - 04 Temmuz 2003, ss.14
In the present study we consider planar geodesics in n-dimensional Lorentzian space L^n. We proved the Meusnier's Theorem for surfaces in L^n. Finally we consider the special cases for n=3 and n=4.