On generalized null Mannheim curves in E24

descriptionPublicationkeyboard_double_arrow_right Article 26 Mar 2020 Turkey English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 44, pages 7,588-7,600 (issn: 0170-4214, eissn: 1099-1476,

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Authors: Kazim İlarslan; Nihal Kılıç Aslan;

doi: 10.1002/mma.6375

handle: 20.500.12587/2738 , 20.500.12587/12766

On generalized null Mannheim curves in E24

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Abstract

In the present paper, we introduce the notion of Cartan‐framed generalized null Mannheim curves in four‐dimensional semi‐Euclidean space with index 2, . We obtain the Cartan (or Frenet) frames and curvature functions of the generalized Mannheim mate curve by the help of curvature functions and Cartan frames of the generalized null Mannheim curve. We proved that there are no generalized null Mannheim curves with timelike principal normal N in . The related examples and their projected images are also given.

Country

Turkey

Related Organizations

Kırıkkale University
Turkey

Keywords

lightlike plane, pseudo null curve, curvature functions, Cartan null curve, semi-Euclidean space, generalized Mannheim curve, non-null curve

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