Some Results on Space-Like Line Congruences and Their Space-Like Parameter Ruled Surface

Using dual vectors, space-like ruled surfaces was introduced in [2]. In this paper, we define space-like line congruence and their space-like parameter ruled surfaces {\mathbf R11(t)} and {\mathbf R21(t)} of R13. Then, by choosing space-like parameter ruled surfaces as space-like principle ruled surfaces, we obtain some relations among the magnitudes of space-like ruled surfaces {\mathbf R1(t)}, {\mathbf R11(t)}.

Some Results on Space-Like Line Congruences and Their Space-Like Parameter Ruled Surface

Using dual vectors, space-like ruled surfaces was introduced in [2]. In this paper, we define space-like line congruence and their space-like parameter ruled surfaces {\mathbf R11(t)} and {\mathbf R21(t)} of R13. Then, by choosing space-like parameter ruled surfaces as space-like principle ruled surfaces, we obtain some relations among the magnitudes of space-like ruled surfaces {\mathbf R1(t)}, {\mathbf R11(t)}.