In the present paper, we study curves in E<sup>3</sup> with den- sity e<sup>ax2+by2 </sup>, where a, b ∈ R not all zero constants and give the parametric expressions of the curves with vanishing weighted cur- vature. Also, we...
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https://www.riss.kr/link?id=A106558769
2019
-
KCI등재,ESCI
학술저널
683-695(13쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In the present paper, we study curves in E<sup>3</sup> with den- sity e<sup>ax2+by2 </sup>, where a, b ∈ R not all zero constants and give the parametric expressions of the curves with vanishing weighted cur- vature. Also, we...
In the present paper, we study curves in E<sup>3</sup> with den- sity e<sup>ax2+by2 </sup>, where a, b ∈ R not all zero constants and give the parametric expressions of the curves with vanishing weighted cur- vature. Also, we create ruled surfaces whose base curves are the curve with vanishing weighted curvature and the ruling curves are Smarandache curves of this curve. Then, we give some characteriza- tions about these ruled surfaces by obtaining the mean curvatures, Gaussian curvatures, distribution parameters and striction curves of them.
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