On generalized null Mannheim curves in E24

Autor:	Nihal Kilic Aslan, Kazım İlarslan
Přispěvatelé:	Kırıkkale Üniversitesi, KKÜ
Rok vydání:	2020
Předmět:	Pure mathematics General Mathematics Null (mathematics) General Engineering curvature functions Cartan null curve Physics::History of Physics non-null curve lightlike plane pseudo null curve Mathematics::Differential Geometry semi-Euclidean space generalized Mannheim curve Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences. 44:7588-7600
ISSN:	1099-1476 0170-4214 0005-2159
DOI:	10.1002/mma.6375
Popis:	WOS: 000521599600001 In the present paper, we introduce the notion of Cartan-framed generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E24. 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 E24. The related examples and their projected images are also given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71fcee497853024d2fc860aba79dcd4b https://doi.org/10.1002/mma.6375 Zobrazit plný text záznamu Plný text