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Generalized normal ruled surface of a curve in the Euclidean 3-space

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Open Access
|Aug 2021

References

  1. [1] M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, 1976.
  2. [2] M. Emmer, Imagine Math Between Culture and Mathematics, Springer, 2012 ed, 2012,10.1007/978-88-470-2427-4
  3. [3] A. T. Fomenko, A. A. Tuzhilin, Elements of the geometry and topology of minimal surfaces in three dimensional space, American Mathematical Society, Providence, Rhode Island, 2005.10.1090/mmono/093
  4. [4] S. Izumiya, N. Takeuchi, New special curves and developable surfaces, Turk. J. Math. 28 (2004), 153–163.
  5. [5] S. Izumiya, H. Katsumi, T. Yamasaki, The rectifying developable and the spherical Darboux image of a space curve, Geometry and topology of caustics-Caustics ’98- Banach Center Publications, 50 (1999), 137–149.10.4064/-50-1-137-149
  6. [6] S. Izumiya, N. Takeuchi, Special curves and ruled surfaces, Beitrage zur Algebra und Geometrie Contributions to Algebra and Geometry 44(1) (2003), 203–212.
  7. [7] S. Izumiya, N. Takeuchi, Generic properties of helices and Bertrand curves. Journal of Geometry, 74 (2002), 97–109.
  8. [8] S. Izumiya, N. Takeuchi, Geometry of ruled surfaces, Applicable Mathematics in the Golden Age (ed., J.C. Misra), Narosa Publishing House, New Delhi, 2003, 305–338.
  9. [9] A. Karger, J. Novak, Space Kinematics and Lie Groups, STNL Publishers of Technical Lit., Prague, Czechoslovakia, 1978.
  10. [10] M. Önder, O. Kaya, Characterizations of Slant Ruled Surfaces in the Euclidean 3-space, Caspian Journal of Mathematical Sciences, 6(1) (2017), 82–89.
  11. [11] M. Önder, Slant ruled surfaces, Transnational Journal of Pure and Applied Mathematics, 1(1) (2018), 63–82.
  12. [12] M. Önder, T. Kahraman On rectifying ruled surfaces, Kuwait J. Sci., 47(4) (2020), 1–11.
  13. [13] M. A. Soliman, H. N. Abd-Ellah, S. A. Hassan, S. Q. Saleh, Darboux Ruled Surfaces with Pointwise 1-Type Gauss Map, Sohag J. Sci., 2(1) (2017), 1–8.
Language: English
Page range: 217 - 238
Submitted on: Aug 27, 2020
Published on: Aug 26, 2021
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2021 Onur Kaya, Mehmet Önder, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.