Research Article

Tzitzeica curves with q-frame in three-dimensional Minkowski space

Volume: 73 Number: 4 December 30, 2024
EN

Tzitzeica curves with q-frame in three-dimensional Minkowski space

Abstract

In this work, both timelike and spacelike Tzitzeica, spherical, and spherical Tzitzeica curves are analyzed in 3-dimensional Minkowski space by using q-frame. Tzitzeica and spherical curves are characterized using spacelike and timelike q-frames within the context of Minkowski three-space, and the theorems concerning spherical Tzitzeica curves are established.

Keywords

References

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  5. Bobe, A., Boskoff, G., Ciuca, G., Tzitzeica type centro-affine invariants in Minkowski space, An. St. Univ. Ovidius Constanta, 20(2) (2012), 27-34. https://doi.org/10.2478/v10309-012-0037-0
  6. Bükcü, B., Karacan, M. K., Bishop frame of the spacellike curve with a spacellike principal normal in Minkowski 3 space, Commun. Fac. of Sci. Uni. of Ankara Series A1 Mathematics and Statistics, 57(1) (2008), 13-22. https://doi.org/10.1501/Commua1 0000000185
  7. Crasmareanu, M., Cylindrical Tzitzeica curves implies forced harmonic oscillators. Balkan J. of Geom. and Its App. 7(1) (2002), 37-42.
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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

December 30, 2024

Submission Date

September 25, 2023

Acceptance Date

July 1, 2024

Published in Issue

Year 2024 Volume: 73 Number: 4

APA
Ugur Kaymanlı, G., Şen, G. N., & Ekici, C. (2024). Tzitzeica curves with q-frame in three-dimensional Minkowski space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 73(4), 957-968. https://doi.org/10.31801/cfsuasmas.1365949
AMA
1.Ugur Kaymanlı G, Şen GN, Ekici C. Tzitzeica curves with q-frame in three-dimensional Minkowski space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2024;73(4):957-968. doi:10.31801/cfsuasmas.1365949
Chicago
Ugur Kaymanlı, Gul, Gamze Nur Şen, and Cumali Ekici. 2024. “Tzitzeica Curves With Q-Frame in Three-Dimensional Minkowski Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 73 (4): 957-68. https://doi.org/10.31801/cfsuasmas.1365949.
EndNote
Ugur Kaymanlı G, Şen GN, Ekici C (December 1, 2024) Tzitzeica curves with q-frame in three-dimensional Minkowski space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 73 4 957–968.
IEEE
[1]G. Ugur Kaymanlı, G. N. Şen, and C. Ekici, “Tzitzeica curves with q-frame in three-dimensional Minkowski space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 73, no. 4, pp. 957–968, Dec. 2024, doi: 10.31801/cfsuasmas.1365949.
ISNAD
Ugur Kaymanlı, Gul - Şen, Gamze Nur - Ekici, Cumali. “Tzitzeica Curves With Q-Frame in Three-Dimensional Minkowski Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 73/4 (December 1, 2024): 957-968. https://doi.org/10.31801/cfsuasmas.1365949.
JAMA
1.Ugur Kaymanlı G, Şen GN, Ekici C. Tzitzeica curves with q-frame in three-dimensional Minkowski space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2024;73:957–968.
MLA
Ugur Kaymanlı, Gul, et al. “Tzitzeica Curves With Q-Frame in Three-Dimensional Minkowski Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 73, no. 4, Dec. 2024, pp. 957-68, doi:10.31801/cfsuasmas.1365949.
Vancouver
1.Gul Ugur Kaymanlı, Gamze Nur Şen, Cumali Ekici. Tzitzeica curves with q-frame in three-dimensional Minkowski space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2024 Dec. 1;73(4):957-68. doi:10.31801/cfsuasmas.1365949

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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