Loxodromes and geodesics on rotational surfaces in a simply isotropic space

초록

A loxodrome is a curve on a parametrized surface that intersects one family of parametric lines at a constant angle. In this paper, we investigate loxodromes on rotational surfaces in the 3-dimensional simply isotropic space I-3 and give an example of loxodromes. Also, we completely classify geodesics on rotational surfaces in I-3.

키워드