On Mannheim curves in Riemann-Otsuki space

Abstract

In this paper, we studied the Mannheim partner curves and their new characterizations are also obtained in Riemann-Otsuki space R − O 3 .

On Joachimsthal's theorems in Riemann--Otsuki space $R-O_{3}$

“…Yıldırım and Bektaş gave the general properties of Bertrand curves and their characterizations in Riemann-Otsuki space in [21] . Later, in [11], Küçükarslan and Yıldırım studied the Mannheim partner curves in Riemann-Otsuki space and obtained some new characterizations for this curve.…”

“…Later, in [11], Küçükarslan and Yıldırım studied the Mannheim partner curves in Riemann-Otsuki space and obtained some new characterizations for this curve.…”

Investigation of a curve using Frenet frame in the lightlike cone

“…Frenet frames are a centrical structure in modern differential geometry, in which construction is explained with regards to an object of interest rather than with regards to exterior coordinate systems. Many studies on curves using frenet frames have been reported by many mathematicians [6,7,[9][10][11][12][13][14][15][16][17][18][19][20][21].…”