Research Article

On Involute-Evolute Curve Pair in Semi-Euclidean Space

Volume: 13 Number: 2 December 31, 2021
EN

On Involute-Evolute Curve Pair in Semi-Euclidean Space

Abstract

In this study, a kind of generalized involute and evolute curve pair is considered in 4 dimensional semi Euclidean space with 2 index. The curvatures and the associated Frenet Frame of this kind of generalized involute-evolute curve pair are presented.

Keywords

References

  1. [1] Akgun, M., Sivridağ, A.İ., Some characterizations for spacelike inclined curves, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(2019), 1576-1585.
  2. [2] Boyer, C., A History of Mathematics, New York, Wiley, 1968.
  3. [3] Bükcü, B., Karacan, M.K., On the involute and evolute curves of the timelike curve in Minkowski 3-space, Demonstr. Math., 40(2007), 721–732.
  4. [4] Çöken, A.C., Görgülü, A., On Joachimsthal’s theorems in semi-Euclidean spaces, Nonlinear Analysis: Theory, Meth. App., 70(2009), 3932–3942.
  5. [5] Fuchs, D., Evolutes and involutes of spatial curves, Am. Math. Mon., 120(2013), 217–231.
  6. [6] Hacısalihoğlu, H.H., Yüksek Diferansiyel Geometriye Giriş, Fırat University Publications, Elazı˘g, 1980.
  7. [7] Hacısalihoglu, H.H., Diferansiyel Geometri, İnönü University Faculty of Arts and Sciences Publications, Malatya, 1983.
  8. [8] Hanif, M., Hua Hou, Z., Generalized involute and evolute curve-couple in Euclidean space, Int. J. Open Problems Compt. Math., 11(2018), 28–39.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

June 9, 2021

Acceptance Date

October 25, 2021

Published in Issue

Year 2021 Volume: 13 Number: 2

APA
Ağırman Aydın, T., & Kocayiğit, H. (2021). On Involute-Evolute Curve Pair in Semi-Euclidean Space. Turkish Journal of Mathematics and Computer Science, 13(2), 331-337. https://doi.org/10.47000/tjmcs.950099
AMA
1.Ağırman Aydın T, Kocayiğit H. On Involute-Evolute Curve Pair in Semi-Euclidean Space. TJMCS. 2021;13(2):331-337. doi:10.47000/tjmcs.950099
Chicago
Ağırman Aydın, Tuba, and Hüseyin Kocayiğit. 2021. “On Involute-Evolute Curve Pair in Semi-Euclidean Space”. Turkish Journal of Mathematics and Computer Science 13 (2): 331-37. https://doi.org/10.47000/tjmcs.950099.
EndNote
Ağırman Aydın T, Kocayiğit H (December 1, 2021) On Involute-Evolute Curve Pair in Semi-Euclidean Space. Turkish Journal of Mathematics and Computer Science 13 2 331–337.
IEEE
[1]T. Ağırman Aydın and H. Kocayiğit, “On Involute-Evolute Curve Pair in Semi-Euclidean Space”, TJMCS, vol. 13, no. 2, pp. 331–337, Dec. 2021, doi: 10.47000/tjmcs.950099.
ISNAD
Ağırman Aydın, Tuba - Kocayiğit, Hüseyin. “On Involute-Evolute Curve Pair in Semi-Euclidean Space”. Turkish Journal of Mathematics and Computer Science 13/2 (December 1, 2021): 331-337. https://doi.org/10.47000/tjmcs.950099.
JAMA
1.Ağırman Aydın T, Kocayiğit H. On Involute-Evolute Curve Pair in Semi-Euclidean Space. TJMCS. 2021;13:331–337.
MLA
Ağırman Aydın, Tuba, and Hüseyin Kocayiğit. “On Involute-Evolute Curve Pair in Semi-Euclidean Space”. Turkish Journal of Mathematics and Computer Science, vol. 13, no. 2, Dec. 2021, pp. 331-7, doi:10.47000/tjmcs.950099.
Vancouver
1.Tuba Ağırman Aydın, Hüseyin Kocayiğit. On Involute-Evolute Curve Pair in Semi-Euclidean Space. TJMCS. 2021 Dec. 1;13(2):331-7. doi:10.47000/tjmcs.950099

Cited By