scholarly journals One parameter family of b-m₁ developable surfaces of biharmonic new type b-slant helices according to Bishop frame in the sol space Sol³

2013 ◽  
Vol 31 (2) ◽  
pp. 121
Author(s):  
Mahmut Ergüt ◽  
Talat Körpınar ◽  
Essin Turhan

In this paper, we study inextensible flows of b-m₁ developable surfaces of biharmonic new type b-slant helix in the Sol³. We characterize one parameter family of the b-m₁ developable surfaces in terms of their Bishop curvatures.

2013 ◽  
Vol 31 (2) ◽  
pp. 265
Author(s):  
Talat Körpinar ◽  
Essin Turhan
Keyword(s):  
Type B ◽  
New Type ◽  

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.


2020 ◽  
Vol 5 (1) ◽  
pp. 237-248
Author(s):  
Muhammad Abubakar Isah ◽  
Mihriban Alyamaç Külahçı

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.


2013 ◽  
Vol 31 (2) ◽  
pp. 205 ◽  
Author(s):  
Talat Körpinar ◽  
Essin Turhan

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.


2011 ◽  
Vol 31 (1) ◽  
pp. 89 ◽  
Author(s):  
Vedat Asil ◽  
Talat Körpınar ◽  
Essin Turhan

In this paper, we study inextensible flows of tangent developable surfaces of biharmonic B-slant helices in the special three-dimensional Kenmotsu manifold K with η-parallel ricci tensor. We express some interesting relations about inextensible flows of this surfaces.


Life Sciences ◽  
1983 ◽  
Vol 32 (5) ◽  
pp. 517-524 ◽  
Author(s):  
Hiroyasu Kinemuchi ◽  
Miyuki Sudo ◽  
Morihiko Yoshino ◽  
Takamori Kawaguchi ◽  
Yumi Sunami ◽  
...  
Keyword(s):  
Type A ◽  
Type B ◽  

2007 ◽  
Vol 15 (4) ◽  
pp. 357-368
Author(s):  
A. D. Forbes ◽  
M. J. Grannell ◽  
T. S. Griggs
Keyword(s):  
Type B ◽  

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