Bi-null Cartan curves in semi-Euclidean spaces of index 2

k-TYPE BI-NULL CARTAN SLANT HELICES IN R6 2

“…The curves of such type were studied in Minkowski space-time R 4 1 by some researchers in [2,7]. Bi-null Cartan curves in R n 2 are defined in [8]. Some characterizations of bi-null Cartan curves in terms of their curvature functions in R n 2 for n ≥ 6 are also given in [8].…”

“…Bi-null Cartan curves in R n 2 are defined in [8]. Some characterizations of bi-null Cartan curves in terms of their curvature functions in R n 2 for n ≥ 6 are also given in [8]. The necessary and the sufficient conditions for bi-null curves to be k-type slant helices in semi-Euclidean spaces R 6 3 and R 5 2 are given in [10,11].…”

“…On the other hand, the third named author of this paper gave the notion of binull Cartan curves in semi-Euclidean spaces R n 2 of index 2, together with the unique Cartan frame and the Cartan curvatures. He discussed some properties of bi-null Cartan curves in terms of the Cartan curvatures in the case where n ≥ 6 ( [8]). In R 5 conditions for bi-null curves to be k-type slant helices in terms of their curvature functions ( [10,11]).…”

Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space

“…Semi-Euclidean space is a vector space with pseudoscalar product which is different from Euclidean space. The study of semi-Euclidean space has produced fruitful results; please see [1][2][3][4][5]. It is well known that there exist spacelike submanifolds, timelike submanifolds, and null submanifolds in semi-Euclidean space.…”

Caracterizações de subvariedades marginalmente aprisionadas em formas espaciais

“…Note que a pseudo-torção é preservada por isometrias positivas. Além disto, na literatura, objetos análogos à nossa pseudo-torção também são chamados de curvaturas de Cartan de α (veja por exemplo [38] e [47]). …”