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.

DOI

10.3906/mat-1806-33

Keywords

Slant helix, Lancret's theorem, curves in Lie groups

First Page

1447

Last Page

1455

Recommended Citation

YAMPOLSKY, A, & OPARIY, A (2019). Generalized helices in three-dimensional Lie groups. Turkish Journal of Mathematics 43 (3): 1447-1455. https://doi.org/10.3906/mat-1806-33

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