Huseyin Kocayigit, Bahattin BUKCU, İlker PEKTAS

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

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

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.,

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

Communication in Mathematical Modeling and Applications-Cover

Başlangıç: 2016
Yayıncı: Mustafa BAYRAM

Arşiv

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