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On slant helix and its spherical indicatrix. (English) Zbl 1083.53006

Summary: We investigate spherical images the tangent indicatrix and binormal indicatrix of a slant helix. We obtain that the spherical images are spherical helices.

Moreover, we show that a curve of constant precession is a slant helix. For involute of a curve γ, we have obtain that γ is a slant helix if and only if its involute is a general helix.


MSC:
53A04Curves in Euclidean space
53A05Surfaces in Euclidean space