Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps

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, 2020, vol. 8, issue 7, 1-15

Abstract: In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-type Gauss maps. At the same time, some representative examples are given and their graphs are plotted by the aid of a software programme.

Keywords: null curve; null scroll; Gauss map; Minkowski space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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