Research Article

Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$

Volume: 6 Number: 2 June 30, 2023
EN

Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$

Abstract

In this study, for the first time, a method is given for a developable ruled surface to be a constant angle ruled surface. The general equations of constant angle surfaces have been shown in the studies done so far. In this study, a new method is given on how to obtain a constant angled surface when any constant direction is given in Minkowski $3-$space.

Keywords

References

  1. [1] P. Cermelli, A. J. Di Scala, Constant angle surfaces in liquid crystals, Philos. Mag., 87 (2007), 1871-1888.
  2. [2] M. I. Munteanu, A. I. Nistor, A new approach on constant angle surfaces in E3, Turkish J. Math., 33(2) (2009), 1-10.
  3. [3] A. I. Nistor, Certain constant angle surfaces constructed on curves, Int. Electron. J. Geom., 4 (2011), 79-87.
  4. [4] S. Özkaldı, Y. Yaylı, Constant angle surfaces and curves in E3, Int. Electron. J. Geom., 4(1) (2011), 70-78.
  5. [5] A. T. Ali, A constant angle ruled surfaces, Int. Electron. J. Geom., 7(1) (2018), 69-80.
  6. [6] C. Y. Li, C. G. Zhu, Construction of the spacelike constant angle surface family in Minkowski 3􀀀space, AIMS Math., 5(6) (2020), 6341-6354.
  7. [7] S. Özkaldı Karakuş, Certain constant angle surfaces constructed on curves in Minkowski 3􀀀space, Int. Electron. J. Geom., 11(1) (2018), 37-47.
  8. [8] R. Lopez, M. I. Munteanu, Constant angle surfaces in Minkowski space, Bull. Belg. Math. Soc. Simon Stevin, 18(2) (2011), 271-286.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Early Pub Date

May 25, 2023

Publication Date

June 30, 2023

Submission Date

December 14, 2022

Acceptance Date

April 18, 2023

Published in Issue

Year 2023 Volume: 6 Number: 2

APA
Has, A., Yılmaz, B., & Yaylı, Y. (2023). Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$. Fundamental Journal of Mathematics and Applications, 6(2), 78-88. https://doi.org/10.33401/fujma.1218966
AMA
1.Has A, Yılmaz B, Yaylı Y. Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$. Fundam. J. Math. Appl. 2023;6(2):78-88. doi:10.33401/fujma.1218966
Chicago
Has, Aykut, Beyhan Yılmaz, and Yusuf Yaylı. 2023. “Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$”. Fundamental Journal of Mathematics and Applications 6 (2): 78-88. https://doi.org/10.33401/fujma.1218966.
EndNote
Has A, Yılmaz B, Yaylı Y (June 1, 2023) Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$. Fundamental Journal of Mathematics and Applications 6 2 78–88.
IEEE
[1]A. Has, B. Yılmaz, and Y. Yaylı, “Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$”, Fundam. J. Math. Appl., vol. 6, no. 2, pp. 78–88, June 2023, doi: 10.33401/fujma.1218966.
ISNAD
Has, Aykut - Yılmaz, Beyhan - Yaylı, Yusuf. “Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$”. Fundamental Journal of Mathematics and Applications 6/2 (June 1, 2023): 78-88. https://doi.org/10.33401/fujma.1218966.
JAMA
1.Has A, Yılmaz B, Yaylı Y. Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$. Fundam. J. Math. Appl. 2023;6:78–88.
MLA
Has, Aykut, et al. “Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$”. Fundamental Journal of Mathematics and Applications, vol. 6, no. 2, June 2023, pp. 78-88, doi:10.33401/fujma.1218966.
Vancouver
1.Aykut Has, Beyhan Yılmaz, Yusuf Yaylı. Constant Angle Ruled Surfaces in $\mathbb{E}^{3}_1$. Fundam. J. Math. Appl. 2023 Jun. 1;6(2):78-8. doi:10.33401/fujma.1218966

Cited By

download?token=eyJhdXRoX3JvbGVzIjpbXSwiZW5kcG9pbnQiOiJqb3VybmFsIiwib3JpZ2luYWxuYW1lIjoiQWJzdHJhY3QgR3JhbmQgT3BlbmluZyBBbm5vdW5jZW1lbnQgRnJlZSBJbnN0YWdyYW0gUG9zdCAoMSkucG5nIiwicGF0aCI6IjdjNmYvZWY3NC85ZDMwLzY5Y2U0NjNiMTI0YWUxLjI4OTYzMDEwLnBuZyIsImV4cCI6MTc3NTEyOTY3NSwibm9uY2UiOiJjY2JlNDg0NTg1ZjM5NDhiNjc5OTBiMTQyZGQ1NGJkZiJ9.32mL-W4AxKl9vkmOiZKzTdBUXRMtp2xLb0bNUYSQ61w       download?token=eyJhdXRoX3JvbGVzIjpbXSwiZW5kcG9pbnQiOiJqb3VybmFsIiwib3JpZ2luYWxuYW1lIjoiQWJzdHJhY3QgR3JhbmQgT3BlbmluZyBBbm5vdW5jZW1lbnQgRnJlZSBJbnN0YWdyYW0gUG9zdCAoMSkucG5nIiwicGF0aCI6ImI1ODYvMjQ0My9jMWViLzY5ZDYyYjAwODY1YzUwLjg2OTE5ODk1LnBuZyIsImV4cCI6MTc3NTY0Njk5Miwibm9uY2UiOiIwY2Y4NDNkN2IzYTBmOWZjNmM3YjJjOTM5MDFlODcwZiJ9.CF8E27Ea4s80p4hO_2OZg23PRrjTZehq_uGq5OpcHg8

35258

Creative Commons License

The published articles in Fundamental Journal of Mathematics and Applications are licensed under a

Creative Commons Attribution-NonCommercial 4.0 International License


28893   28892   28894   28895   28896   28897