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
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 .
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- Communications, Series A1:Mathematics and Statistics