Ruled Surfaces Constructed by Planar Curves In Euclidean 3-Space With Density

Year 2020, Volume: 16 Issue: 1, 81 - 88, 27.03.2020

Mustafa Altın Ahmet Kazan H.bayram Karadağ

Abstract

In the
present study, firstly we recall the parametric expressions of planar curves
with zero



















phi-curvature in Euclidean 3-space with density
e^ax_1
and with the aid of the
Frenet frame of these planar curves, we obtain the Smarandache curves of them.
After that, we study on ruled surfaces which is constructed by curves with zero


-curvature in Euclidean 3-space with density

e^ax_1 and their Smarandache curves by giving
the striction curves, distribution parameters, mean curvature and Gaussian
curvature of these ruled surfaces. Also, we give some examples for these
surfaces by plotting their graphs. We use Mathematica
when we are plotting the graphs of examples.

Keywords

Ruled surfaces, Smarandache curves, Weighted curvature

Supporting Institution

Inonu University

Project Number

FDK-2018-1349

Thanks

We're very much thankful to Inonu University BAP (Scientific Research Projects) unit for their support to our this study.

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