- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 41
- Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n
Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n
Authors : Aysel Turgut
Pages : 0-0
Doi:10.1501/Commua1_0000000507
View : 9 | Download : 4
Publication Date : 1992-01-01
Article Type : Research
Abstract :The evolute of a given curve is a well-known concept in 3-dimensional Euclidean space |R3. In this paper, we generalize this concept to n-dimensional Euclidean space |Rn . In addition, defining an involute-evolute curve couple (a, (3) in |Rn , we obtaiıı some properties connected with (a, j3) and its horizontal lift (a ^ , |3H ) in T|Rn .Keywords : Involute - Evolute, horizontal, higher