Spacelike and timelike normal curves in Minkowski space-time | Zendy

Kazım İlarslan | Zendy; Emilija Nešović | Zendy

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Spacelike and timelike normal curves in Minkowski space-time

Author(s) -

Kazım İlarslan,

Emilija Nešović

Publication year - 2009

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0999111i

Subject(s) - minkowski space , frenet–serret formulas , mathematical analysis , curvature , constant (computer programming) , constant curvature , mathematics , moving frame , space (punctuation) , mathematical physics , frame (networking) , geometry , telecommunications , linguistics , philosophy , computer science , programming language

We define normal curves in Minkowski space-time E41. In particular, we characterize the spacelike normal curves in E41 whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in E41 , in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures.

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