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1
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Null Quaternionic Bertrand Curves in Minkowski Space R₁⁴

100%
Tuna Aksoy A.
Acta Physica Polonica A
|
2016
|
vol. 130
|
issue 1
256-258
EN
In this study, we defined null quaternionic Bertrand curves in R₁⁴. The only Bertrand null quaternionic curves in R₁⁴ are null quaternionic helices with (p-τ)=0.
2
Content available remote

Pseudo-Spherical Null Quaternionic Curves in Minkowski Space R₁⁴

100%
Tuna Aksoy A.
Acta Physica Polonica A
|
2016
|
vol. 130
|
issue 1
259-261
EN
In this study, we define the osculating pseudo-sphere of a null quaternionic Cartan curve in Minkowski space R₁⁴. We give a characterization for pseudo-spherical null quaternionic Cartan curves.
3
Content available remote

On the Dual Quaternionic N̅₃ Slant Helices in D⁴

63%
Tuna Aksoy A., Çöken A.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 3
900-904
EN
In this paper, we define the harmonic curvature functions for dual quaternionic curves. Moreover, we also study some characterizations for dual quaternionic slant helices according to dual quaternionic frame.
4
Content available remote

Null Quaternionic Cartan Helices in ℝ³_{v}

63%
Tuna Aksoy A., Çöken A.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 3
896-899
EN
In this study, we define null quaternionic Bertrand curves in ℝ³_{v} for a null quaternionic curve, which has a single non-zero, constant Cartan curvature τ. We also prove that if a null quaternionic curve with non-zero curvatures in ℝ³_{v} is a null quaternionic Bertrand curve, then it is a null quaternionic helix.
5
Content available remote

Characterizations for the Dual Split Quaternionic Curves

63%
Tuna Aksoy A., Çöken A.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 3
905-908
EN
We define harmonic curves and inclined curves for dual split quaternionic curves. And then, we give some characterizations for dual split quaternionic inclined curves by means of the harmonic curvatures.
6
Content available remote

Serret-Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space ℝ⁴₁

63%
Tuna Aksoy A., Çöken A.
Acta Physica Polonica A
|
2015
|
vol. 128
|
issue 2B
B-293-B-296
EN
In this study, we construct the Cartan frame of a null quaternionic curves in semi Euclidean spaces R⁴₁ for an arbitrary parameter.
7
Content available remote

Null Quaternionic Curves in Semi-Euclidean 3-Space of Index ν

63%
Tuna Aksoy A., Çöken A.
Acta Physica Polonica A
|
2015
|
vol. 128
|
issue 2B
B-286-B-289
EN
In this study, we construct the Cartan frame of a null quaternionic curves in semi-Euclidean spaces ℝ₁³ and ℝ₂³ for an arbitrary parameter.
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