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On Frenet apparatus of partially null curves in semi-Euclidean space. (English) Zbl 1199.53006

Summary: By defining a vector product in semi-Euclidean space \(E^4_2\), we present a method to calculate Frenet apparatus of partially null curves. Thereafter, in the same space, using presented method, we prove that Frenet apparatus of a partially null evolute curve can be formed by involute’s Frenet apparatus.

MSC:

53A04 Curves in Euclidean and related spaces