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Keywords = k-type null helix

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14 pages, 975 KB  
Article
Some Characterizations of Generalized Null Scrolls
by Jinhua Qian, Xueshan Fu and Seoung Dal Jung
Mathematics 2019, 7(10), 931; https://doi.org/10.3390/math7100931 - 10 Oct 2019
Cited by 4 | Viewed by 2197
Abstract
In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed. The Gaussian curvature, mean [...] Read more.
In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed. The Gaussian curvature, mean curvature, second Gaussian curvature and the second mean curvature are given and related to each other. Last but not least, the generalized null scrolls whose base curves are k-type null helices are discussed and several examples are presented. Full article
(This article belongs to the Special Issue Riemannian Geometry of Submanifolds)
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