| Abstrakt: |
In this study, we consider some special mates of spherical Legendre curves by using Legendre frame along spherical front or frontal on Euclidean unit sphere. In this sense, we define orthogonal-type and parallel-type spherical Legendre mates. After, we get some characterizations between Legendre curvatures of orthogonal-type Legendre mates. In particularly, when spherical front is a regular curve, we give relationships between Legendre and Frenet frame or Legendre and Sabban frame. Moreover, we obtain that the evolute and the involute of spherical front correspond to a second and third orthogonal-type Legendre mate of spherical front, respectively. After, we give examples for first, second or third orthogonal-type spherical Legendre mates of some special spherical fronts or frontals. Finally, we show that there is no parallel-type Legendre mates of spherical frontal. [ABSTRACT FROM AUTHOR] |
