On the Darboux ruled surface of a general helix in the Nil₃

Nil geometry is one of the eight geometries of Thurston's conjecture. In this paper we study in Nil 3-space and the Nil metric with respect to the standard coordinates (x,y,z) is gNil3=(dx)2+(dy)2+(dz-xdy)2 in IR3. In [8] we have already and out the explicit parametric equation of a general hel...

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Bibliographic Details
Main Author: Şeyda KILICOGLU
Format: Article
Language:English
Published: BİSKA Bilisim Company 2016-01-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5104