Characterizing the developable surfaces with curves whose position vectors lie in the planes spanned by Darboux frame

Author:

Takahashi TakeshiORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. Altunkaya, B., Kahraman, F., Kula, L., Aytekin, C.: On rectifying slant helices in Euclidean 3-space. Konuralp J. Math. 4, 17-24 (2016)

2. Camci, Ç., Kula, L., İlarslan, K.: Characterizations of the position vector of a surface curve in Euclidean 3-space. An. Şt. Univ. Ovidius Constanţa. 19(3), 59-70 (2011)

3. Chen, B.Y.: Rectifying curves and geodesics on a cone in the Euclidean 3-space. Tamkang J Math. 48, 209-214 (2017)

4. Chen, B.Y.: When does the position vector of a space curve always lie in its rectifying plane? The American Mathematical Monthly. 110, 147-152 (2003)

5. Chen, B.Y., Dillen, F.: Rectifying curves as centrodes and extremal curves. Bull Inst Math Acad Sinica. 33, 77-90 (2005)

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