Some Characterizations of Mannheim Partner Curves in Minkowski 3-space

Abstract

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 .

arXiv comment11 pages, 2 figures

References in corpus (1)

• On the Developable Mannheim Offsets of Timelike Ruled Surfaces

Cited by in corpus (1)

• On Dual Timelike Mannheim Partner Curves in D3 1