Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 : 16 | Download : 10

Publication Date : 1992-01-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(a, insert ignore into journalissuearticles values(3); in |Rn , we obtaiıı some properties connected with insert ignore into journalissuearticles values(a, j3); and its horizontal lift insert ignore into journalissuearticles values(a ^ , |3H ); in T|Rn .
Keywords : Involute Evolute, horizontal, higher

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