Special equiform Smarandache curves in Minkowski space-time

In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve ζ on a spacelike surface M in Minkowski 3-space E13. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves in E13. Moreover, we give some properties to...

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Detalhes bibliográficos
Autor principal: E.M. Solouma
Formato: Artigo
Idioma:English
Publicado em: SpringerOpen 2017-07-01
coleção:Journal of the Egyptian Mathematical Society
Assuntos:
Acesso em linha:http://www.sciencedirect.com/science/article/pii/S1110256X17300342
Descrição
Resumo:In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve ζ on a spacelike surface M in Minkowski 3-space E13. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves in E13. Moreover, we give some properties to these curves when the curve ζ has constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.
ISSN:1110-256X