Null generalized helices in Lorentz–Minkowski spaces

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Published 17 September 2002 • Published under licence by IOP Publishing Ltd
, , Citation Angel Ferrández et al 2002 J. Phys. A: Math. Gen. 35 8243 DOI 10.1088/0305-4470/35/39/308

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1 Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, Spain

Dates

  1. Received 15 May 2002
  2. Published

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0305-4470/35/39/8243

Abstract

We obtain a Lancret-type theorem for null generalized helices in Lorentz–Minkowski spaces Bbb Ln. In Bbb L3 we find that the only null generalized helices are the ordinary null helices. However, in Bbb L5 we have to consider two types of null generalized helices according to whether the axis is non-null or null. In both cases we obtain the solutions to the natural equations problem.

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