scholarly journals Some curve pairs according to types of Bishop frame

2021 ◽  
Vol 6 (5) ◽  
pp. 4463-4473
Author(s):  
Beyhan YILMAZ ◽  
Keyword(s):  
Bishop Frame

Some Characterization of Curves of Constant Breadth According to Bishop Frame in E3 Space

2013 ◽  
Vol 2 (3) ◽  
pp. 7-11
Author(s):  
H�lya G�n Bozok ◽  
Handan �ztekin
Keyword(s):  
Bishop Frame ◽  
Constant Breadth

Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space

2017 ◽  
Vol 41 (1) ◽  
pp. 45-49 ◽  
Author(s):  
Hüseyin Kocayiğit ◽  
Muhammed Çetin ◽  
Mehmet Çetin Evirgen
Keyword(s):  
Bishop Frame ◽  
Constant Breadth

scholarly journals Special Curves According to Bishop Frame in Minkowski 3-Space

2020 ◽  
Vol 5 (1) ◽  
pp. 237-248
Author(s):  
Muhammad Abubakar Isah ◽  
Mihriban Alyamaç Külahçı
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Bishop Frame ◽  
Null Curve ◽  
Minkowski Spaces ◽  
Slant Helix ◽  
Null Curves ◽  
Necessary And Sufficient

AbstractPseudo null curves were studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curve are not considered. In this paper, we study weak AW (k) – type and AW (k) – type pseudo null curve in Minkowski 3-space [E_1^3 . We define helix and slant helix according to Bishop frame in [E_1^3 . Furthermore, the necessary and sufficient conditions for the slant helix and helix in Minkowski 3-space are obtained.

Ruled Surfaces According to Bishop Frame in the Euclidean 3-Space

2018 ◽  
Vol 89 (2) ◽  
pp. 415-424 ◽  
Author(s):  
Melek Masal ◽  
Ayşe Zeynep Azak
Keyword(s):  
Ruled Surfaces ◽  
Bishop Frame

scholarly journals The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
M. A. Soliman ◽  
W. M. Mahmoud ◽  
E. M. Solouma ◽  
M. Bary
Keyword(s):  
Bishop Frame ◽  
Canal Surfaces

scholarly journals Some New Characterizations Of Parallel Translation Surface According To Bishop Frame With Timelike M1 In Minkowski 3-Space

2018 ◽  
Vol 22 ◽  
pp. 01030
Author(s):  
Gülden Altay Suroǧlu
Keyword(s):  
Translation Surface ◽  
Parallel Translation ◽  
Translation Surfaces ◽  
Bishop Frame

In this paper we consider parallel translation surfaces, which are generated by spacelike curves, according to Bishop frame with timelike M1 in Minkowski 3- space. Then, we obtain some characterizations of these surface.

scholarly journals b-Smarandache tm₂ curves of biharmonic new type b-slant helices according to Bishop frame in the Sol space Sol³

2013 ◽  
Vol 31 (2) ◽  
pp. 265
Author(s):  
Talat Körpinar ◽  
Essin Turhan
Keyword(s):  
Type B ◽  
Bishop Frame ◽  
Slant Helix ◽  
New Type ◽  
Sol Space

In this paper, we study b-Smarandache tm₂ curves of biharmonic new type b-slant helix in the Sol³. We characterize the b-Smarandache tm₂ curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the Sol³.

scholarly journals Integral equations of biharmonic constant π₁-slope curves according to type-2 Bishop frame in the SOL space

2013 ◽  
Vol 31 (2) ◽  
pp. 205 ◽  
Author(s):  
Talat Körpinar ◽  
Essin Turhan
Keyword(s):  
Integral Equations ◽  
Bishop Frame ◽  
Sol Space

In this paper, we study biharmonic constant Π₁- slope curves according to type-2 Bishop frame in the SOL³. We characterize the biharmonic constant Π₁- slope curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric integral equations in the SOL³.

Moving non-null curves according to Bishop frame in Minkowski 3-space

2015 ◽  
Vol 12 (05) ◽  
pp. 1550052 ◽  
Author(s):  
Nevin Gürbüz
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Soliton Equations ◽  
Nonlinear Schrödinger ◽  
Bishop Frame ◽  
Heat System ◽  
Null Curves

In this paper, we introduce three new transformations and establish connections between moving non-null curves and soliton equations according to Bishop frame in Minkowski 3-space. Later we find formulas for differentials of these three new transformations associated with the nonlinear heat system and repulsive type nonlinear Schrödinger equation.

Relation between Darboux and type-2 Bishop frames in Euclidean space

2016 ◽  
Vol 13 (07) ◽  
pp. 1650101 ◽  
Author(s):  
Amine Yilmaz ◽  
Emin Özyilmaz
Keyword(s):  
Euclidean Space ◽  
Transition Matrix ◽  
Geodesic Curvature ◽  
Spherical Image ◽  
Darboux Vector ◽  
Bishop Frame ◽  
Spherical Images

In this work, we investigate relationships between Darboux and type-2 Bishop frames in Euclidean space. Then, we obtain the geodesic curvature of the spherical image curve of the Darboux vector of the type-2 Bishop frame. Also, we give transition matrix between the Darboux and type-2 Bishop frames of the type-2 Bishop frames of the spherical images of the edges [Formula: see text] and [Formula: see text]. Finally, we express some interesting relations and illustrate of the examples by the aid Maple programe.

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