On the singularity and distribution parameters of involutive and Bertrandian Frenet ruled surfaces in E^3

Year 2016, Volume: 4 Issue: 3, 180 - 185, 30.09.2016

Seyda Kilicoglu Suleyman Senyurt

Abstract

In this paper
we consider twelve special ruled surfaces associated to the curve the involute curve  and Bertrand mate  , with . They are called as Frenet ruled, involutive Frenet ruled and Bertrandian
Frenet ruled surfaces, cause of their generators are the Frenet vector fields
of curve . First we give all the parametrizations of all Frenet ruled surfaces in
terms of the Frenet apparatus of curve  We examined distribution parameters
and Singularity of involutive and Bertrand Frenet ruled surfaces based on the
Frenet apparatus of curve  in E

Keywords

Involute curve, Bertrand curve pair, striction curves, ruled surfaces

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