engleski

Involute of Pseudo-Null Curve in Minkowski Space

An involute of a curve in space is a curve to which all tangent lines of the given curve are normal. It is also known for the property that it can be realized as the locus of the free end of a taut string that is unwound from the initial curve. A curve possesses a one-parameter family of involutes and they are all parallel. Involutes of a curve c parametrized by arc-length are given by i(s) = c(s) + (−s + a)t(s), where a is a constant, and t = c'. In this presentation we correct this result and we investigate properties of involute of pseudo-null curve in 3-dimensional Minkowski space.

Involute, Minkowski space, pseudo-null curve

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