Slant helices in Euclidean 4-space $E^4$

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dc.creatorAli, Ahmad T.
dc.creatorLópez, Rafael
dc.date2009-01-21
dc.date.accessioned2026-07-07T12:32:36Z
dc.date.available2026-07-07T12:32:36Z
dc.descriptionWe consider a unit speed curve $α$ in Euclidean four-dimensional space $E^4$ and denote the Frenet frame by $\{T,N,B_1,B_2\}$. We say that $α$ is a slant helix if its principal normal vector $N$ makes a constant angle with a fixed direction $U$. In this work we give different characterizations of such curves in terms of their curvatures.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0901.3324
dc.identifierhttp://arxiv.org/abs/0901.3324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216834
dc.subjectDifferential Geometry
dc.subject53C40, 53C50
dc.titleSlant helices in Euclidean 4-space $E^4$
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