On helices of a Lorentzian manifold

Abstract

T. lkawa obtained in [1] the following differential equation o 2 - KD^X = 0 , K = k; - k^ fcff the circular heiix which corresponds to the case that the curvatures and k^ of a üme-like curve a on the Lorentzian manifold are constants. is constant. In this paper, T. lkawa’s result is^^generalized to the case of general helix, i.e. and are non-constant funetions of t, but —