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Year 2020, , 54 - 59, 15.10.2020
https://doi.org/10.36753/mathenot.599866

Abstract

References

  • Coşkun, Ö.: 3-Boyutlu Öklid ve Minkowski Uzaylarında Mannheim Eğri Çiftleri. Ms. thesis. Uşak University (2010).
  • Kaymaz, F., Kahraman, Aksoyak, F.: Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Mathematical Sciences and Applications E-Notes. 5(2), 34-39 (2017).
  • Kazaz, M., Hüseyin, Uğurlu, H., Önder, M., Kahraman, T.: Manheim Partner D curves in the Euclidean 3-space E3. New Trends in Mathematical Sciences. 3(2), 24-35 (2015).
  • Kazaz, M., Hüseyin, Uğurlu, H., Önder, M., Oral, S.: Bertrand Partner D-Curves in the Euclidean 3-space E3. Afyon Kocatepe Universty Journal of Science and Engineering. 16, 76-83 (2016).
  • Liu, H., Wang, F.: Manheim Partner Curves in 3-Space. In: Proceeding of the Eleventh International Workshop on Differential Geometry, Daegu, SOUTH KOREA. 11, 25-31 (2007).
  • Mannheim, A.: De l'emploi de la Courbe Représentative de la Surface des Normales Principales d'une Courbe Gauche Pour la Démonstration de Propriétés Relatives à Cette Courbure. Comptes Rendus des Séances de l'Académie des Sciences. 86, 1254–1256 (1878).
  • Zeynep, Azak, A.: Üç Boyutlu Lorentz Uzayında Timelike Mannheim Eğri Çifti Üzerine. Sakarya University Journal of Science and Art. 11(2), 35-45 (2009).

Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3

Year 2020, , 54 - 59, 15.10.2020
https://doi.org/10.36753/mathenot.599866

Abstract

In this study, we consider Mannheim partner curves according to Darboux Frame. Characterization of Mannheim partner curves lying on the surface are examined, and some curves are obtained. The characteristics of these curves are given by the geodesic curvatures, normal curvatures and geodesic torsions of these curves.

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References

  • Coşkun, Ö.: 3-Boyutlu Öklid ve Minkowski Uzaylarında Mannheim Eğri Çiftleri. Ms. thesis. Uşak University (2010).
  • Kaymaz, F., Kahraman, Aksoyak, F.: Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Mathematical Sciences and Applications E-Notes. 5(2), 34-39 (2017).
  • Kazaz, M., Hüseyin, Uğurlu, H., Önder, M., Kahraman, T.: Manheim Partner D curves in the Euclidean 3-space E3. New Trends in Mathematical Sciences. 3(2), 24-35 (2015).
  • Kazaz, M., Hüseyin, Uğurlu, H., Önder, M., Oral, S.: Bertrand Partner D-Curves in the Euclidean 3-space E3. Afyon Kocatepe Universty Journal of Science and Engineering. 16, 76-83 (2016).
  • Liu, H., Wang, F.: Manheim Partner Curves in 3-Space. In: Proceeding of the Eleventh International Workshop on Differential Geometry, Daegu, SOUTH KOREA. 11, 25-31 (2007).
  • Mannheim, A.: De l'emploi de la Courbe Représentative de la Surface des Normales Principales d'une Courbe Gauche Pour la Démonstration de Propriétés Relatives à Cette Courbure. Comptes Rendus des Séances de l'Académie des Sciences. 86, 1254–1256 (1878).
  • Zeynep, Azak, A.: Üç Boyutlu Lorentz Uzayında Timelike Mannheim Eğri Çifti Üzerine. Sakarya University Journal of Science and Art. 11(2), 35-45 (2009).
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Abdullah Yıldırım 0000-0002-6579-3799

Feryat Kaya This is me 0000-0001-7725-0479

Publication Date October 15, 2020
Submission Date August 1, 2019
Acceptance Date October 10, 2020
Published in Issue Year 2020

Cite

APA Yıldırım, A., & Kaya, F. (2020). Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3. Mathematical Sciences and Applications E-Notes, 8(2), 54-59. https://doi.org/10.36753/mathenot.599866
AMA Yıldırım A, Kaya F. Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3. Math. Sci. Appl. E-Notes. October 2020;8(2):54-59. doi:10.36753/mathenot.599866
Chicago Yıldırım, Abdullah, and Feryat Kaya. “Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-Space E^3”. Mathematical Sciences and Applications E-Notes 8, no. 2 (October 2020): 54-59. https://doi.org/10.36753/mathenot.599866.
EndNote Yıldırım A, Kaya F (October 1, 2020) Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3. Mathematical Sciences and Applications E-Notes 8 2 54–59.
IEEE A. Yıldırım and F. Kaya, “Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3”, Math. Sci. Appl. E-Notes, vol. 8, no. 2, pp. 54–59, 2020, doi: 10.36753/mathenot.599866.
ISNAD Yıldırım, Abdullah - Kaya, Feryat. “Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-Space E^3”. Mathematical Sciences and Applications E-Notes 8/2 (October 2020), 54-59. https://doi.org/10.36753/mathenot.599866.
JAMA Yıldırım A, Kaya F. Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3. Math. Sci. Appl. E-Notes. 2020;8:54–59.
MLA Yıldırım, Abdullah and Feryat Kaya. “Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-Space E^3”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 2, 2020, pp. 54-59, doi:10.36753/mathenot.599866.
Vancouver Yıldırım A, Kaya F. Mannheim Partner Curves According to Darboux Frame in the Euclidean 3-space E^3. Math. Sci. Appl. E-Notes. 2020;8(2):54-9.

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