2006 **Abstract:** In this paper, we obtain the Frenet equations of a pseudo null and a partially null curves, lying fully in the semi-Euclidean space R 4 2 , and classify all such curves with constant curvatures. (2000): 53C50, 53C40.
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“…For this purpose, the geometric characterization of the nonlightlike, pseudo lightlike, Cartan lightlike, and partially lightlike curves were characterized in ${\mathrm{double-struckE}}_{2}^{4}$ by other works. () Considering the giving characterizations of the space curves of a distinct type, Körpınar and Demirkol determined the elasticity and nonelasticity conditions for them together with their energy.…”

confidence: 99%

“…For this purpose, the geometric characterization of the nonlightlike, pseudo lightlike, Cartan lightlike, and partially lightlike curves were characterized in ${\mathrm{double-struckE}}_{2}^{4}$ by other works. () Considering the giving characterizations of the space curves of a distinct type, Körpınar and Demirkol determined the elasticity and nonelasticity conditions for them together with their energy.…”

confidence: 99%

“…) are …rst, second and third curvature of the curve , respectively. In the sequel, in [3] prove that k 3 (s) = 0 for each s. Consequently, there are only two curvatures k 1 (s) and k 2 (s) in this case. Thus, Frenet equations are as follows: 8 > > < > > :…”

confidence: 76%

“…; called angle between a and b, such that g(a; b) = kak kbk cos : We also recall that the pseudosphere S 3 2 and the pseudohyperbolic space H 3 1 are the hyperquadrics in E 4 2 ; de…ned respectively by:…”

confidence: 99%

“…Case 4. Let K be a unit speed partially lightlike curve K, then Frenet equations are stated as the following [17].…”

mentioning

confidence: 99%