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Timelike B 2 -slant helices in Minkowski space E 1 4

Ahmad T. AliRafael López — 2010

Archivum Mathematicum

We consider a unit speed timelike curve α in Minkowski 4-space 𝐄 1 4 and denote the Frenet frame of α by { 𝐓 , 𝐍 , 𝐁 1 , 𝐁 2 } . We say that α is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction U of 𝐄 1 4 . In this work we study those helices where the function 𝐁 2 , U is constant and we give different characterizations of such curves.

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