A Note on Fermi Walker Derivative with Constant Energy for Tangent Indicatrix of Slant Helix in the Lie Groups

2018 ◽  
Vol 7 (2) ◽  
pp. 230-234 ◽  
Author(s):  
Talat Körpinar
Keyword(s):  
Lie Groups ◽  
Constant Energy ◽  
Slant Helix ◽  
Tangent Indicatrix

Characterizations of Spacelike Slant Helices In Minkowski 3-Space

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
İ. Gök ◽  
S. Kaya Nurkan ◽  
K. Ilarslan ◽  
L. Kula ◽  
M. Altinok
Keyword(s):  
Differential Equations ◽  
Subject Classification ◽  
Normal Vector ◽  
Spacelike Curve ◽  
Frenet Equations ◽  
Slant Helix ◽  
Spherical Indicatrix ◽  
Tangent Indicatrix ◽  
Principal Normal Indicatrix ◽  
Binormal Indicatrix

Abstract In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize for a spacelike curve to be a slant helix by using the Frenet apparatus of spherical indicatrix of the curve. Also related examples and their illustrations are given. Mathematics Subject Classification 2010: 53A04, 53C50.

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