TY - EJOU
AU - Okuyucu, Osman Zeki
TI - Frenet Curve Couples in Three Dimensional Lie Groups
T2 - Computer Modeling in Engineering \& Sciences
PY - 2022
VL - 133
IS - 3
SN - 1526-1506
AB - In this study, we examine the possible relations between the Frenet planes of any given two curves in three
dimensional Lie groups with left invariant metrics. We explain these possible relations in nine cases and then
introduce the conditions that must be met to coincide with the planes of these curves in nine theorems.
KW - Curves; lie groups; curvatures; Frenet plane
DO - 10.32604/cmes.2022.021081