A characterization of constant curvature ratios in Ln
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초록
In this paper, we study the curves in n-dimensional Lorentzian space Ln for which all the ratios "1k2k1; "2k3k2; "3k4k3; ::: are constant. We call them curves with constant curvature ratios or ccr-curves. Spherical images of a time-like curve lying on the pseudohyperbolic space Hn10 (r) in n-dimensional Lorentzian space and some characterizations of spherical images to be general helices if the base curve is a ccr-curves are presented. In the nal part, for n = 4 and 5 dimensional Lorentzian space, we nd constant curvature ratios of some special curves.
Abstract
In this paper, we study the curves in n-dimensional Lorentzian space Ln for which all the ratios "1k2k1; "2k3k2; "3k4k3; ::: are constant. We call them curves with constant curvature ratios or ccr-curves. Spherical images of a time-like curve lying on the pseudohyperbolic space Hn10 (r) in n-dimensional Lorentzian space and some characterizations of spherical images to be general helices if the base curve is a ccr-curves are presented. In the nal part, for n = 4 and 5 dimensional Lorentzian space, we nd constant curvature ratios of some special curves.
참고문헌 (10)
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