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HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE
Yilmaz, Beyhan,Metin, Seyma,Gok, Ismail,Yayli, Yusuf The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.2
The aim of the paper is to characterize some curves with the help of their harmonic curvature functions. First of all, we have defined harmonic curvature function of an arbitrary curve and have re-determined the position vectors of helices in terms of their harmonic curvature functions in Galilean 3-space. Then, we have investigated the relation between rectifying curves and Salkowski (or anti-Salkowski) curves in Galilean 3-space. Furthermore, the position vectors of them are obtained via the serial approach of the curves. Finally, we have given some illustrated examples of helices and rectifying curves with some assumptions.
Harmonic curvature functions of some special curves in Galilean $3-$Space
Beyhan Yilmaz,Seyma Metin,Ismail Gok,Yusuf Yayli 호남수학회 2019 호남수학학술지 Vol.41 No.2
The aim of the paper is to characterize some curves with the help of their harmonic curvature functions. First of all, we have defined harmonic curvature function of an arbitrary curve and have re-determined the position vectors of helices in terms of their harmonic curvature functions in Galilean $3-$space. Then, we have investigated the relation between rectifying curves and Salkowski (or anti-Salkowski) curves in Galilean $3-$space. Furthermore, the position vectors of them are obtained via the serial approach of the curves. Finally, we have given some illustrated examples of helices and rectifying curves with some assumptions.