Araştırma Makalesi
BibTex RIS Kaynak Göster

On Rectifying Slant Curves in Galilean Space

Yıl 2023, Cilt: 11 Sayı: 1, 46 - 51, 30.04.2023

Mustafa Dede Cumali Ekici Mahmut Koçak

Öz

In this paper, we study rectifying slant curves in three-dimensional Galilean space. Further geometric properties of rectifying slant curves are also presented in Galilean space. Moreover, we obtain a admissible family of rectifying slant helices for a special case. Consequently, an example is constructed and plotted.

Anahtar Kelimeler

Galilean space curve Slant Curves

Kaynakça

  • [1] Ali T. Ahmad, Position vectors of slant helices in Euclidean space EJournal of the Egyp-tian Mathematical Society, 20 (1), 1-6, 2012.
  • [2] Altunkaya, B., Aksoyak, F.K., Kula, L. and Aytekin, C., On Rectifying Slant Helices in Euclidean 3-Space, Konuralp Journal of Mathematics, 4(2), 17-24, 2016.
  • [3] Altunkaya, B. and Kula, L., On Timelike Rectifying Slant Helices in Minkowski 3-Space, International Electronic Journal of Geometry, 11(1), 17-25, 2018.
  • [4] Deshmukh, S., Chen, B.Y. and Alshammari, S.H., On rectifying curves in Euclidean 3-space,Turk J Math, 42, 609-620, 2018.
  • [5] Chen, B.Y., When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly, 110, 147-152, 2003.
  • [6] Chen, B.Y., Dillen, F. Rectifying curves as centrodes and extremal curves, Bull. Inst. Math.Academia Sinica, 33 (2), 77-90, 2005.
  • [7] Izumiya S., Takeuchi N., New special curves and developable surfaces, Turk. J. Math. 28, 153-163, 2004.
  • [8] Izumiya S. and Takeuchi N., Generic properties of helices and Bertrand curves, J. Geom. 74, 97-109, 2002.
  • [9] Kula, L. and Yayli, Y., On slant helix and its spherical indicatrix, Applied Mathematics and Computation, 169, 600-607, 2005.
  • [10] Kula, L., Ekmekci, N. Yayl, Y. and Ilarslan, K., Characterizations of slant helices in Euclidean 3-space, Turkish J. Math. 34 (2), 261273, 2010. Mustafa Dede et al. 11
  • [11] Milin-Sipus, Z., Ruled Weingarten surfaces in Galilean space, Periodica Mathematica Hungarica, 56 (2), 213-225, 2008.
  • [12] OíNeill B., Elementary Di§erential Geometry, Academic Press, 2006.
  • [13] ÷grenmi¸s, A., Erg¸t, M. and Bekta¸s, M., On the Helices in the º Galilean Space G3; Iranian Journal of Science & Technology, Transaction A, Printed in The Islamic Republic of Iran, 31 (A2), 2007.
  • [14] Rˆschel, O., Die Geometrie des Galileischen Raumes, Habilitationsschrift, Leoben, 1984.
  • [15] Struik D.J., Lectures on Classical Di§erential Geometry, Dover, 1961.
  • [16] Yaglom, I.M., A Simple Non-Euclidean Geometry and Its Physical Basis, Springer-Verlag New York Inc., 1979

Yıl 2023, Cilt: 11 Sayı: 1, 46 - 51, 30.04.2023

Mustafa Dede Cumali Ekici Mahmut Koçak

Öz

Kaynakça

  • [1] Ali T. Ahmad, Position vectors of slant helices in Euclidean space EJournal of the Egyp-tian Mathematical Society, 20 (1), 1-6, 2012.
  • [2] Altunkaya, B., Aksoyak, F.K., Kula, L. and Aytekin, C., On Rectifying Slant Helices in Euclidean 3-Space, Konuralp Journal of Mathematics, 4(2), 17-24, 2016.
  • [3] Altunkaya, B. and Kula, L., On Timelike Rectifying Slant Helices in Minkowski 3-Space, International Electronic Journal of Geometry, 11(1), 17-25, 2018.
  • [4] Deshmukh, S., Chen, B.Y. and Alshammari, S.H., On rectifying curves in Euclidean 3-space,Turk J Math, 42, 609-620, 2018.
  • [5] Chen, B.Y., When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly, 110, 147-152, 2003.
  • [6] Chen, B.Y., Dillen, F. Rectifying curves as centrodes and extremal curves, Bull. Inst. Math.Academia Sinica, 33 (2), 77-90, 2005.
  • [7] Izumiya S., Takeuchi N., New special curves and developable surfaces, Turk. J. Math. 28, 153-163, 2004.
  • [8] Izumiya S. and Takeuchi N., Generic properties of helices and Bertrand curves, J. Geom. 74, 97-109, 2002.
  • [9] Kula, L. and Yayli, Y., On slant helix and its spherical indicatrix, Applied Mathematics and Computation, 169, 600-607, 2005.
  • [10] Kula, L., Ekmekci, N. Yayl, Y. and Ilarslan, K., Characterizations of slant helices in Euclidean 3-space, Turkish J. Math. 34 (2), 261273, 2010. Mustafa Dede et al. 11
  • [11] Milin-Sipus, Z., Ruled Weingarten surfaces in Galilean space, Periodica Mathematica Hungarica, 56 (2), 213-225, 2008.
  • [12] OíNeill B., Elementary Di§erential Geometry, Academic Press, 2006.
  • [13] ÷grenmi¸s, A., Erg¸t, M. and Bekta¸s, M., On the Helices in the º Galilean Space G3; Iranian Journal of Science & Technology, Transaction A, Printed in The Islamic Republic of Iran, 31 (A2), 2007.
  • [14] Rˆschel, O., Die Geometrie des Galileischen Raumes, Habilitationsschrift, Leoben, 1984.
  • [15] Struik D.J., Lectures on Classical Di§erential Geometry, Dover, 1961.
  • [16] Yaglom, I.M., A Simple Non-Euclidean Geometry and Its Physical Basis, Springer-Verlag New York Inc., 1979
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Mustafa Dede

Cumali Ekici

Mahmut Koçak

Yayımlanma Tarihi 30 Nisan 2023
Gönderilme Tarihi 14 Mart 2022
Kabul Tarihi 8 Kasım 2022
Yayımlandığı Sayı Yıl 2023 Cilt: 11 Sayı: 1

Kaynak Göster

APA Dede, M., Ekici, C., & Koçak, M. (2023). On Rectifying Slant Curves in Galilean Space. Konuralp Journal of Mathematics, 11(1), 46-51.
AMA Dede M, Ekici C, Koçak M. On Rectifying Slant Curves in Galilean Space. Konuralp J. Math. Nisan 2023;11(1):46-51.
Chicago Dede, Mustafa, Cumali Ekici, ve Mahmut Koçak. “On Rectifying Slant Curves in Galilean Space”. Konuralp Journal of Mathematics 11, sy. 1 (Nisan 2023): 46-51.
EndNote Dede M, Ekici C, Koçak M (01 Nisan 2023) On Rectifying Slant Curves in Galilean Space. Konuralp Journal of Mathematics 11 1 46–51.
IEEE M. Dede, C. Ekici, ve M. Koçak, “On Rectifying Slant Curves in Galilean Space”, Konuralp J. Math., c. 11, sy. 1, ss. 46–51, 2023.
ISNAD Dede, Mustafa vd. “On Rectifying Slant Curves in Galilean Space”. Konuralp Journal of Mathematics 11/1 (Nisan 2023), 46-51.
JAMA Dede M, Ekici C, Koçak M. On Rectifying Slant Curves in Galilean Space. Konuralp J. Math. 2023;11:46–51.
MLA Dede, Mustafa vd. “On Rectifying Slant Curves in Galilean Space”. Konuralp Journal of Mathematics, c. 11, sy. 1, 2023, ss. 46-51.
Vancouver Dede M, Ekici C, Koçak M. On Rectifying Slant Curves in Galilean Space. Konuralp J. Math. 2023;11(1):46-51.
 Kapak Resmi İndir
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.