Parametric Equations for Space Curves Whose Spherical Images Are Slant Helices

Abderrazzak EL Haimi, Malika Izid and Amina OUAZZANI Chahdi

Journal of Mathematics Research, 2019, vol. 11, issue 5, 82-88

Abstract: The curve whose tangent and binormal indicatrices are slant helices is called a slant-slant helix. In this paper, we give a new characterization of a slant-slant helix and determine a vector differential equation of the third order satisfied by the derivative of principal normal vector fields of a regular curve. In terms of solution, we determine the parametric representation of the slant-slant helix from the intrinsic equations. Finally, we present some examples of slant-slant helices by means of intrinsic equations.

Keywords: alternative moving frame; intrinsic equations; slant-slant helix (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:5:p:82

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