Generalized helices in three-dimensional Lie groups
Authors : Alexander Yampolsky, Anastasiya Opariy
Pages : 1447-1455
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We introduce three types of helices in three-dimensional Lie groups with left-invariant metric and give their geometrical description similar to that of Lancret. We generalize the results known for the case of three-dimensional Lie groups with bi-invariant metric.Keywords : Slant helix, Lancret's theorem, curves in Lie groups