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Year 2019, Volume: 2 Issue: 2, 134 - 141, 25.11.2019

Muhammad Abubakar Isah Mihriban Alyamac Kulahci

Abstract

References

  • [1] A. O. Ogrenmis, M. Ergut, M., Bektas, On the helices in the Galilean space G3. Iranian J. of sci. Tec, Trans. A., 31(2)(2007), 177-181.
  • [2] M. Bektas, M. Ergut, A. O. Ogrenmis, Special curves of 4D in Galilean space . arXiv:1111.0419v1 [math.DG] 2 Nov 2011.
  • [3] M. Hanif and Z. H. Hou, Generalized involute and evolute curve-couple In Euclidean space, Int. J. Open Problems Compt. Math., 11(2)(2018).
  • [4] E. Özyılmaz, S. Yılmaz, Involute-Evolute curve couples in Euclidean 4-space, Int. J. Open Problems Compt. Math., 2 (2)(2009).
  • [5] B. Bukcu, M. K. Karacan, On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3-Space, Int. J. Contemp. Math. Sciences, (2)(5)(2007), 221– 232.
  • [6] M. Hanif , Z. H. Hou, K. S. Nisar, On special kinds of involute and evolute curves in 4-dimensional Minkowski space. Symmetry, (10)(317)(2018).
  • [7] U. Ozturk, E. B. K. Ozturk, K. Ilarslan, On the involute-evolute of pseudonull curves in Minkowski 3-space. J. Appl. Math., Volume 2013, Article ID 651495.
  • [8] M.Y. Yılmaz, M. Bektas, M. Ergut, The pair of involute-evolute curves in Firsler manifold F3, Pure and Appl. Maths J. of Inst. of Kyrgyzstan National Academy, No. 39, Bi¸skek, (2008), 156-163.
  • [9] IM. Yaglom, A Simple Non-Euclidean Geometry and Its Physical Basis, Springer-Verlag, New York, 1979.
  • [10] M. Akyigit, A. Z. Azak, S. Ersoy, Involute-Evolute Curves in Galilean Space G3.Scientia Magna, 6(2010), 75-80.
  • [11] H. Öztekin, T. Körpinar, G. Altay, Constant ratio curves in the four dimensional Galilean space, South Asian J. of Maths Vol. 7 ( 2 )(2017),148-154.
  • [12] M. E. Aydin, M. Ergut, The equiform differential geometry of curves in 4-dimensional Galilean space G4, Stud. Univ. Babe¸s-Bolyai Math., (58)(3)(2013), 393-400.
  • [13] H. B. Oztekin, S. Tatlıpınar, On Some Curves in Galilean Plane and 3-Dimensional Galilean Space. J. Dyn. Sys. Geom. Theo., 10(2012),189-196.
  • [14] S. Büyükkütük, I. Kisi, V. N. Mishra, G. Oztürk, Some Characterizations of Curves in Galilean 3-space G3, Facta Uni.(NIS), Ser. Math. Inform.(31)(2 )(2016), 503-512.

Involute Curves in 4-Dimensional Galilean Space G4

Year 2019, Volume: 2 Issue: 2, 134 - 141, 25.11.2019

Muhammad Abubakar Isah Mihriban Alyamac Kulahci

Abstract

In this paper, we define the (0,2)-involute of a given curve in 4-dimensional Galilean space, and for the curve with a generalized involute, the necessary and sufficient condition is obtained.

Keywords

Galilean space Involute curve

References

  • [1] A. O. Ogrenmis, M. Ergut, M., Bektas, On the helices in the Galilean space G3. Iranian J. of sci. Tec, Trans. A., 31(2)(2007), 177-181.
  • [2] M. Bektas, M. Ergut, A. O. Ogrenmis, Special curves of 4D in Galilean space . arXiv:1111.0419v1 [math.DG] 2 Nov 2011.
  • [3] M. Hanif and Z. H. Hou, Generalized involute and evolute curve-couple In Euclidean space, Int. J. Open Problems Compt. Math., 11(2)(2018).
  • [4] E. Özyılmaz, S. Yılmaz, Involute-Evolute curve couples in Euclidean 4-space, Int. J. Open Problems Compt. Math., 2 (2)(2009).
  • [5] B. Bukcu, M. K. Karacan, On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3-Space, Int. J. Contemp. Math. Sciences, (2)(5)(2007), 221– 232.
  • [6] M. Hanif , Z. H. Hou, K. S. Nisar, On special kinds of involute and evolute curves in 4-dimensional Minkowski space. Symmetry, (10)(317)(2018).
  • [7] U. Ozturk, E. B. K. Ozturk, K. Ilarslan, On the involute-evolute of pseudonull curves in Minkowski 3-space. J. Appl. Math., Volume 2013, Article ID 651495.
  • [8] M.Y. Yılmaz, M. Bektas, M. Ergut, The pair of involute-evolute curves in Firsler manifold F3, Pure and Appl. Maths J. of Inst. of Kyrgyzstan National Academy, No. 39, Bi¸skek, (2008), 156-163.
  • [9] IM. Yaglom, A Simple Non-Euclidean Geometry and Its Physical Basis, Springer-Verlag, New York, 1979.
  • [10] M. Akyigit, A. Z. Azak, S. Ersoy, Involute-Evolute Curves in Galilean Space G3.Scientia Magna, 6(2010), 75-80.
  • [11] H. Öztekin, T. Körpinar, G. Altay, Constant ratio curves in the four dimensional Galilean space, South Asian J. of Maths Vol. 7 ( 2 )(2017),148-154.
  • [12] M. E. Aydin, M. Ergut, The equiform differential geometry of curves in 4-dimensional Galilean space G4, Stud. Univ. Babe¸s-Bolyai Math., (58)(3)(2013), 393-400.
  • [13] H. B. Oztekin, S. Tatlıpınar, On Some Curves in Galilean Plane and 3-Dimensional Galilean Space. J. Dyn. Sys. Geom. Theo., 10(2012),189-196.
  • [14] S. Büyükkütük, I. Kisi, V. N. Mishra, G. Oztürk, Some Characterizations of Curves in Galilean 3-space G3, Facta Uni.(NIS), Ser. Math. Inform.(31)(2 )(2016), 503-512.
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Muhammad Abubakar Isah This is me 0000-0002-8621-5779

Mihriban Alyamac Kulahci 0000-0002-8621-5779

Acceptance Date October 2, 2019
Publication Date November 25, 2019
Published in Issue Year 2019 Volume: 2 Issue: 2

Cite

APA Abubakar Isah, M., & Alyamac Kulahci, M. (2019). Involute Curves in 4-Dimensional Galilean Space G4. Conference Proceedings of Science and Technology, 2(2), 134-141.
AMA Abubakar Isah M, Alyamac Kulahci M. Involute Curves in 4-Dimensional Galilean Space G4. Conference Proceedings of Science and Technology. November 2019;2(2):134-141.
Chicago Abubakar Isah, Muhammad, and Mihriban Alyamac Kulahci. “Involute Curves in 4-Dimensional Galilean Space G4”. Conference Proceedings of Science and Technology 2, no. 2 (November 2019): 134-41.
EndNote Abubakar Isah M, Alyamac Kulahci M (November 1, 2019) Involute Curves in 4-Dimensional Galilean Space G4. Conference Proceedings of Science and Technology 2 2 134–141.
IEEE M. Abubakar Isah and M. Alyamac Kulahci, “Involute Curves in 4-Dimensional Galilean Space G4”, Conference Proceedings of Science and Technology, vol. 2, no. 2, pp. 134–141, 2019.
ISNAD Abubakar Isah, Muhammad - Alyamac Kulahci, Mihriban. “Involute Curves in 4-Dimensional Galilean Space G4”. Conference Proceedings of Science and Technology 2/2 (November2019), 134-141.
JAMA Abubakar Isah M, Alyamac Kulahci M. Involute Curves in 4-Dimensional Galilean Space G4. Conference Proceedings of Science and Technology. 2019;2:134–141.
MLA Abubakar Isah, Muhammad and Mihriban Alyamac Kulahci. “Involute Curves in 4-Dimensional Galilean Space G4”. Conference Proceedings of Science and Technology, vol. 2, no. 2, 2019, pp. 134-41.
Vancouver Abubakar Isah M, Alyamac Kulahci M. Involute Curves in 4-Dimensional Galilean Space G4. Conference Proceedings of Science and Technology. 2019;2(2):134-41.