Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
16
0

Year Published

2015
2015
2017
2017

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

Cited by 14 publications
(16 citation statements)
References 2 publications
0
16
0
Order By: Relevance
“…Then the Frenet formulas are where g ( t , t )=1, g ( n , n )= ϵ =±1, g ( b , b )=− ϵ , g ( t , n )= g ( t , b )= g ( n , b )=0, κ and τ are the curvature and the torsion of α , respectively, and . () Let α be a spacelike curve with a lightlike (null) principal normal n . Then the Frenet formulas are where g ( t , t )= g ( n , b )=1 and g ( b , b )= g ( t , n )= g ( t , b )= g ( n , b )=0.…”
Section: Preliminariesmentioning
confidence: 99%
See 2 more Smart Citations
“…Then the Frenet formulas are where g ( t , t )=1, g ( n , n )= ϵ =±1, g ( b , b )=− ϵ , g ( t , n )= g ( t , b )= g ( n , b )=0, κ and τ are the curvature and the torsion of α , respectively, and . () Let α be a spacelike curve with a lightlike (null) principal normal n . Then the Frenet formulas are where g ( t , t )= g ( n , b )=1 and g ( b , b )= g ( t , n )= g ( t , b )= g ( n , b )=0.…”
Section: Preliminariesmentioning
confidence: 99%
“…In the last case, κ has only 2 values: κ =0, when α is a straight line and κ =1, in all other cases. () …”
Section: Preliminariesmentioning
confidence: 99%
See 1 more Smart Citation
“…1 .For an arbitrary curve α(s) in the space E 3 1 the following Frenet formulae are given in [2][3][4][5][6][7]. If α is timelike curve, then the Frenet formulae read If α is pseudo null curve, the Frenet formulas have the form…”
Section: Preliminariesmentioning
confidence: 99%
“…Meanwhile, as is known, the Mannheim curves in nonflat space forms have two cases: one case is the nonnull Mannheim curves; the other case is the null Mannheim curves which are mainly considered in 3-dimensional de Sitter space S 3 1 . Grbović et al discussed the null Mannheim curves in 3dimensional Minkowski space [12]. We know that the case of null curve that is immersed in a three-dimensional de Sitter space is more sophisticated and interesting than nonnull curve in de Sitter space.…”
Section: Introductionmentioning
confidence: 99%