References
- Abdel-Aziz H.S., Saad M.K. A study on special curves of AW
(k)-type in the pseudo-Galilean space. arXiv preprint 2015,
arXiv:1501.07532. doi:10.48550/arXiv.1501.07532
- Ali U., Nešović E., Ilarslan K. On generalized timelike Mannheim
curves in Minkowski space-time. J. Dyn. Syst. Geom. Theor. 2015,
13 (1), 71–94. doi:10.1080/1726037X.2015.1035043
- Aydin M.E., Ergüt M. The equiform differential geometry of curves
in 4-dimensional Galilean space \(G_4\). Stud. Univ. Babeş-Bolyai Math.
2013, 58 (3), 393–400.
- Bishop L.R. There is more than one way to frame a curve.
Amer. Math. Monthly 1975, 82 (3), 246–251.
doi:10.2307/2319846
- Bükcü B., Karacan M.K. Bishop frame of the spacelike curve with a
spacelike binormal in Minkowski 3-space. Selçuk J. Appl. Math.
2010, 11 (1), 15–25.
- Bükcü B., Karacan M.K. Bishop frame of the spacelike curve with a
spacelike principal normal in Minkowski 3-space. Commun. Fac. Sci.
Univ. Ank. Series A1 2008, 57 (1), 13–22.
- Elsayied H.K., Elzawy M., Elsharkawy A. Equiform timelike normal
curves in Minkowski 3-space. Far East J. Math. Sci. 2017,
101, 1619–1629.
- Erjavec Z., Divjak B. The equiform differential geometry of
curves in the pseudo-Galilean space. Math. Commun. 2008,
13 (2), 321–332.
- Grbović M., Ilarslan K., Nešović E. On null pseudo null Mannheim
curves in Minkowski 3-space. J. Geom. 2014, 105
(1), 177–183. doi:10.1007/s00022-013-0205-z
- Hanson A.J., Ma H. Parallel transport approach to curve framing.
Techreports-TR425, Indiana University, Bloomington, 1995.
- Ilarslan K., Nešović E. Timelike and null normal curves in
Minkowski space \(E_1^3\). Indian
J. Pure Appl. Math. 2004, 35 (7), 881–888.
- Ilarslan K. Spacelike normal curves in Minkowski space \(E_1^3\). Turkish J. Math. 2005,
29 (1), 53–63.
- Karacan M.K., Bükcü B. Bishop frame of the timelike curve in
Minkowski 3-space. SDUFASJS 2008, 3 (1) 80–90.
- Karacan M.K., Tunçer Y. Bäcklund transformations according to
Bishop frame in \(E^3_1\). Acta
Comment. Univ. Tartu. Math. 2015, 19 (2), 75–85.
doi:10.12697/ACUTM.2015.19.07
- Kızıltuǧ S., Yaylı Y. Bertrand curves of AW(k)-type in the
equiform geometry of the Galilean space. Abstr. Appl. Anal. 2014,
2014, 402360.
- Kocayigit H., Özdemir A., Çetin M., Arda B. Some
characterizations of timelike curves according to Bishop frame in
Minkowski 3-space. Int. J. Math. Anal. 2013, 7
(13–16), 767–779. doi:10.12988/ijma.2013.13076
- López R. Differential geometry of curves and surfaces in
Lorentz-Minkowski space. Int. Electron. J. Geom. 2014,
7 (1), 44–107. doi:10.36890/iejg.594497
- Nawratil G. Quaternionic approach to equiform kinematics and
line-elements of Euclidean 4-space and 3-space. Comput. Aided Geom.
Design 2016, 47, 150–162.
doi:10.1016/j.cagd.2016.06.003
- O’Neill B. Semi-Riemannian geometry with applications to relativity.
Academic Press, New York, 1983.
- Ozturk U., Ozturk E.B.K., Ilarslan K. On the involute-evolute of
the pseudonull curve in Minkowski 3-space. J. Appl. Math. 2013,
2013, 651495. doi:10.1155/2013/651495
- Tashkandy Y., Emam W., Cesarano C., Abd El-Raouf M.M., Elsharkawy A.
Generalized spacelike normal curves in Minkowski three-space.
Mathematics 2022, 10 (21), 4145.
doi:10.3390/math10214145
- Walrave J. Curves and surfaces in Minkowski space.
Doctoraatsverhandeling, K.U. Leuven, Leuven, 1995.
- Yılmaz S., Ünlütürk Y. A note on spacelike curves according to
type-2 Bishop frame in Minkowski 3-space \(E_1^3\). Int. J. Pure Appl. Math.
2015, 103 (2), 321–332.
doi:10.12732/ijpam.v103i2.16