Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E^{3}
Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E^{3}
The interest of special curves has increased recently. Some of these are associated curves. They are curves where one of the Frenet vectors at opposite points is linearly dependent to the other curve. One of the best examples of these curves is the evolute-involute partner curves. In this study, evolute-involute curves are researched. Characterization of evolute-involute curves lying on the surface are examined according to Darboux frame and some curves are obtained.
Keywords:
Curves, Surfaces, Geodesics Curvatures, Frames,
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- Almaz F., Külahçı M.A., Involute-evolute D-curves in Minkowski 3-space E_{1}^3 , Bol. Soc. Paran. Mat. doi: 10.5269/bspm.37736
- As E., Sarıoğlugil A., On the Bishop curvatures of involute-evolute curve couple in E^3 , International Journal of Physical Sciences, 9(7), 140-145, 2014.
- Bektaş O., Yüce S., Special involute-evolute partner D-curves in E^3 , European Journal of Pure and Applied Mathematics, 6(1), 20-29, 2013.
- Bilici M., Çalışkan M., On the involutes of the spacelike curve with a timelike binormal in Minkowski 3-Space, International Mathematical Forum, 4(31), 1497-1509, 2009.
- Ertürk N., Curve Couples in the Euclidean 3-Space, M.Sc. Thesis, Uşak University, Uşak, Turkiye, 2010.
- Hacısalihoğlu H.H., Differential Geometry I (Turkish), Ankara University Publications, Ankara, 1998.
- Hacısalihoğlu H.H., Differential Geometry (Turkish), _Inonu University Publications, Malatya, 1983.
- Kazaz M., et al., Bertrand partner D-curves in the Euclidean 3-space E^3 , Afyon Kocatepe University Journal of Science and Engineering, 16(1), 76-83, 2016.
- Özyılmaz E., Yılmaz S., Involute-evolute curve couples in the Euclidean 4-Space, Int. J. Open Problems Compt. Math., 2(2), 168-174, 2009.
- Sabuncuoğlu A., Differential Geometry (Turkish), Nobel Publication Distribution, Ankara, 2004.
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2020
- Yayıncı: Mustafa UÇKUN
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Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E^{3}