Spacelike Loxodromes on Helicoidal Surfaces in Lorentzian n--Space

Abstract

In this paper, we study three types of helicoidal surfaces in a Lorentzian n--space ${\mathbb{E}}_1^n$. First, we find the parametrizations of spacelike loxodromes on such spacelike helicoidal surfaces in ${\mathbb{E}}_1^n$. Then, we make a similar classification for spacelike loxodromes on such timelike helicoidal surfaces of a Lorentzian n--space ${\mathbb{E}}_1^n$.