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Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³

Year 2016, Volume: 1 Issue: 2, 1 - 7, 14.06.2016

Huseyin Kocayigit , Bahattin Bukcu İlker Pektas

Abstract

In this paper, we obtained some characterizations of spacelike curves according to Bishop frame in Minkowski 3-space E_1^3 by using Laplacian operator and Levi-Civita connection. Furthermore we gave the general differential equations which characterize the  spacelike curves according to the Bishop Darboux vector and the normal Bishop Darboux vector. 

Keywords

Bishop frame Darboux vector Minkowski 3-Space Laplacian operator.

References

  • A. J. Hanson and H. Ma, Parallel Transport Approach to Curve Framing, Indiana University, Techreports-TR425, January 11 (1995).

Year 2016, Volume: 1 Issue: 2, 1 - 7, 14.06.2016

Huseyin Kocayigit , Bahattin Bukcu İlker Pektas

Abstract

References

  • A. J. Hanson and H. Ma, Parallel Transport Approach to Curve Framing, Indiana University, Techreports-TR425, January 11 (1995).
There are 1 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Mathematics, Engineering and statistics
Authors

Huseyin Kocayigit

Bahattin Bukcu This is me

İlker Pektas This is me

Publication Date June 14, 2016
Published in Issue Year 2016 Volume: 1 Issue: 2

Cite

APA Kocayigit, H., Bukcu, B., & Pektas, İ. (2016). Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³. Communication in Mathematical Modeling and Applications, 1(2), 1-7.
AMA Kocayigit H, Bukcu B, Pektas İ. Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³. CMMA. June 2016;1(2):1-7.
Chicago Kocayigit, Huseyin, Bahattin Bukcu, and İlker Pektas. “Characterizations of Spacelike Curves According to Bishop Darboux Vector in Minkowski 3-Space E₁³”. Communication in Mathematical Modeling and Applications 1, no. 2 (June 2016): 1-7.
EndNote Kocayigit H, Bukcu B, Pektas İ (June 1, 2016) Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³. Communication in Mathematical Modeling and Applications 1 2 1–7.
IEEE H. Kocayigit, B. Bukcu, and İ. Pektas, “Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³”, CMMA, vol. 1, no. 2, pp. 1–7, 2016.
ISNAD Kocayigit, Huseyin et al. “Characterizations of Spacelike Curves According to Bishop Darboux Vector in Minkowski 3-Space E₁³”. Communication in Mathematical Modeling and Applications 1/2 (June 2016), 1-7.
JAMA Kocayigit H, Bukcu B, Pektas İ. Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³. CMMA. 2016;1:1–7.
MLA Kocayigit, Huseyin et al. “Characterizations of Spacelike Curves According to Bishop Darboux Vector in Minkowski 3-Space E₁³”. Communication in Mathematical Modeling and Applications, vol. 1, no. 2, 2016, pp. 1-7.
Vancouver Kocayigit H, Bukcu B, Pektas İ. Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³. CMMA. 2016;1(2):1-7.