Some Characterizations of Generalized Null Scrolls

Jinhua Qian, Xueshan Fu and Seoung Dal Jung
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Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueshan Fu: Department of Mathematics, Jeju National University, Jeju 690-756, Korea
Seoung Dal Jung: Department of Mathematics, Jeju National University, Jeju 690-756, Korea

Mathematics, 2019, vol. 7, issue 10, 1-14

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 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.

Keywords: ruled surface; generalized null scroll; null curve; k-type null helix; structure function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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