2011/08/23 by Kahraman, Tanju, Önder, Mehmet, Kazaz, Mustafa +1
#53C40 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1108.4570
In this paper, we give the characterizations of Mannheim Partner Curves in Minkowski 3-space . Firstly, we classify these curves in . Next, we give some relationships characterizing these curves and we show that Mannheim theorem is not valid for Mannheim partner curves in . Moreover, by considering the spherical indicatrix of the Frénet vectors of those curves, we obtain some new relationships between the curvatures and torsions of the Mannheim partner curves in .