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Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group

Cilt: 6 Sayı: 2 30 Aralık 2022
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Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group

Abstract

In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.

Keywords

Gauss curvature , Lie group , Surfaces

Kaynakça

  1. [1] Wang, G.J, Tang, K., & Tai, C. L. (2004). Parametric representation of a surface pencil with a common spatial geodesic. Comput. Aided Des., 36, 447–459.
  2. [2] Li, C. Y., Wang, R. H., & Zhu, C. G. (2011). Parametric representation of a surface pencil with a common line of curvature. Comput. Aided Des., 43(9), 1110-1117.
  3. [3] Ergün, E., Bayram, & Kasap, E., (2014). Surface pencil with a common line of curvature in Minkowski 3-space. Acta Math. Sin. (Engl. Ser.), 30(12), 2103-2118.
  4. [4] Kasap, E., & Akyildiz, F. T. (2006). Surfaces with a common geodesic in Minkowski 3-space., Appl. Math. Comp. , 177, 260–270.
  5. [5] Yoon, D. W., Yüzbaşi, Z. K., & Bektaş, M. (2017). An approach for surfaces using an asymptotic curve in Lie group. J. Advan. Phys., 6(4), 586-590.
  6. [6] Yoon, D. W., & Yüzbaşi, Z. K. (2019). On constructions of surfaces using a geodesic in Lie group, J. Geo., 110(2), 1-10.
  7. [7] Bayram, E. (2022). Construction of surfaces with constant mean curvature along a timelike curve. Politeknik Dergisi, 1-1.
  8. [8] Bayram, E. (2020). Verilen Bir Eğri Boyunca Gauss Eğriliği Sabit Olan Yüzeyler. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 20(5), 819-823.
  9. [9] Çiftçi, Ü. (2009). A generalization of Lancret’s theorem, J. Geom. Phys., 59(12) , 1597-1603.
  10. [10] Okuyucu, O. Z., Gök, İ, Yaylı Y., & Ekmekci N. (2013) Slant helices in three dimensional Lie groups, Appl. Math. Comput., 221, 672-683.

Kaynak Göster

APA
Kucukarslan Yuzbasi, Z., & Köse Şahin, G. (2022). Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group. International Journal of Innovative Engineering Applications, 6(2), 272-275. https://doi.org/10.46460/ijiea.1135754
AMA
1.Kucukarslan Yuzbasi Z, Köse Şahin G. Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group. ijiea, IJIEA. 2022;6(2):272-275. doi:10.46460/ijiea.1135754
Chicago
Kucukarslan Yuzbasi, Zuhal, ve Gamze Köse Şahin. 2022. “Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group”. International Journal of Innovative Engineering Applications 6 (2): 272-75. https://doi.org/10.46460/ijiea.1135754.
EndNote
Kucukarslan Yuzbasi Z, Köse Şahin G (01 Aralık 2022) Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group. International Journal of Innovative Engineering Applications 6 2 272–275.
IEEE
[1]Z. Kucukarslan Yuzbasi ve G. Köse Şahin, “Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group”, ijiea, IJIEA, c. 6, sy 2, ss. 272–275, Ara. 2022, doi: 10.46460/ijiea.1135754.
ISNAD
Kucukarslan Yuzbasi, Zuhal - Köse Şahin, Gamze. “Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group”. International Journal of Innovative Engineering Applications 6/2 (01 Aralık 2022): 272-275. https://doi.org/10.46460/ijiea.1135754.
JAMA
1.Kucukarslan Yuzbasi Z, Köse Şahin G. Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group. ijiea, IJIEA. 2022;6:272–275.
MLA
Kucukarslan Yuzbasi, Zuhal, ve Gamze Köse Şahin. “Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group”. International Journal of Innovative Engineering Applications, c. 6, sy 2, Aralık 2022, ss. 272-5, doi:10.46460/ijiea.1135754.
Vancouver
1.Zuhal Kucukarslan Yuzbasi, Gamze Köse Şahin. Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group. ijiea, IJIEA. 01 Aralık 2022;6(2):272-5. doi:10.46460/ijiea.1135754