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Spacelike Loxodromes on Helicoidal Surfaces in Lorentzian n--Space (2011.08438v1)
Published 17 Nov 2020 in math.DG
Abstract: In this paper, we study three types of helicoidal surfaces in a Lorentzian n--space $\mathbb{E}n_1$. First, we find the parametrizations of spacelike loxodromes on such spacelike helicoidal surfaces in $\mathbb{E}n_1$. Then, we make a similar classification for spacelike loxodromes on such timelike helicoidal surfaces of a Lorentzian n--space $\mathbb{E}n_1$.
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