Classification Theorems of Ruled Surfaces in Minkowski Three-Space

Miekyung Choi and Young Ho Kim
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Miekyung Choi: Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea
Young Ho Kim: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea

Mathematics, 2018, vol. 6, issue 12, 1-18

Abstract: By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional Minkowski space. In particular, null scrolls do not have the proper generalized 1-type Gauss map. In fact, it is harmonic.

Keywords: ruled surface; null scroll; Minkowski space; pointwise 1-type Gauss map; generalized 1-type Gauss map; conical surface of G -type (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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