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Open AccessArticle

Classification Theorems of Ruled Surfaces in Minkowski Three-Space

1
Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea
2
Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
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Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 318; https://doi.org/10.3390/math6120318
Received: 16 November 2018 / Revised: 5 December 2018 / Accepted: 8 December 2018 / Published: 11 December 2018
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. View Full-Text
Keywords: ruled surface; null scroll; Minkowski space; pointwise 1-type Gauss map; generalized 1-type Gauss map; conical surface of G-type ruled surface; null scroll; Minkowski space; pointwise 1-type Gauss map; generalized 1-type Gauss map; conical surface of G-type
MDPI and ACS Style

Choi, M.; Kim, Y.H. Classification Theorems of Ruled Surfaces in Minkowski Three-Space. Mathematics 2018, 6, 318.

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