EN
Spherical indicatrices of a Bertrand curve in three dimensional Lie groups
Abstract
In this paper, new representations of a Bertrand curve pair in three dimensional Lie groups with bi-invariant metric are given. Besides, the spherical indicatrices of a Bertrand curve pair are obtained and the relations between the spherical indicatrices and new representations of Bertrand curve pair are shown.
Keywords
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
August 1, 2019
Submission Date
March 29, 2018
Acceptance Date
March 12, 2019
Published in Issue
Year 2019 Volume: 68 Number: 2
APA
Çakmak, A., & Kızıltuğ, S. (2019). Spherical indicatrices of a Bertrand curve in three dimensional Lie groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1930-1938. https://doi.org/10.31801/cfsuasmas.571964
AMA
1.Çakmak A, Kızıltuğ S. Spherical indicatrices of a Bertrand curve in three dimensional Lie groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1930-1938. doi:10.31801/cfsuasmas.571964
Chicago
Çakmak, Ali, and Sezai Kızıltuğ. 2019. “Spherical Indicatrices of a Bertrand Curve in Three Dimensional Lie Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1930-38. https://doi.org/10.31801/cfsuasmas.571964.
EndNote
Çakmak A, Kızıltuğ S (August 1, 2019) Spherical indicatrices of a Bertrand curve in three dimensional Lie groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1930–1938.
IEEE
[1]A. Çakmak and S. Kızıltuğ, “Spherical indicatrices of a Bertrand curve in three dimensional Lie groups”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1930–1938, Aug. 2019, doi: 10.31801/cfsuasmas.571964.
ISNAD
Çakmak, Ali - Kızıltuğ, Sezai. “Spherical Indicatrices of a Bertrand Curve in Three Dimensional Lie Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1930-1938. https://doi.org/10.31801/cfsuasmas.571964.
JAMA
1.Çakmak A, Kızıltuğ S. Spherical indicatrices of a Bertrand curve in three dimensional Lie groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1930–1938.
MLA
Çakmak, Ali, and Sezai Kızıltuğ. “Spherical Indicatrices of a Bertrand Curve in Three Dimensional Lie Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1930-8, doi:10.31801/cfsuasmas.571964.
Vancouver
1.Ali Çakmak, Sezai Kızıltuğ. Spherical indicatrices of a Bertrand curve in three dimensional Lie groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1930-8. doi:10.31801/cfsuasmas.571964
