Turkish Journal of Mathematics
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, ALEXANDER and OPARIY, ANASTASIYA
(2019)
"Generalized helices in three-dimensional Lie groups,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 28.
https://doi.org/10.3906/mat-1806-33
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/28
