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Classications of special curves in the three-dimensional lie group
- Issue Date
- 2016
- Publisher
- Hikari Ltd.
- Keywords
- Aw(k)-type curve; Bertrand curve; Lie group; Slant helix
- Citation
- International Journal of Mathematical Analysis, v.10, no.09월 12일, pp 503 - 514
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- International Journal of Mathematical Analysis
- Volume
- 10
- Number
- 09월 12일
- Start Page
- 503
- End Page
- 514
- ISSN
- 1312-8876
- Abstract
- In the present paper, we dene a Bertrand curve in the three-dimensional Lie group G with a bi-invariant metric, and we show a Frenet curve with Frenet curvatures k1 and k2 in G is a Bertrand curve if and only if it satises Ak1 + B(k2 + k2) = 1, where A and B are some constants and k2 = 1=2h[V1; V2]; V3i. Also, we investigate a Bertrand curve using the Frenet curvature conditions of AW(k)-type (k = 1; 2; 3) curves in G. ? 2016 Chul Woo Lee and Jae Won Lee.
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