Space-like Loxodromes on the Canal Surfaces in Minkowski 3-Space

Abstract

In this paper, we obtain the differential equations of the space-like loxodromes on the non-degenerate canal surfaces depending on the causal characters of these canal surfaces and their meridians in Minkowski 3-space. Also we give an example by using Mathematica computer programme.

arXiv comment20 pages, 1 figure