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Classification Theorems of Ruled Surfaces in Minkowski Three-Space

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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… Click to show full 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: generalized type; space; type gauss; ruled surfaces; gauss map

Journal Title: Mathematics
Year Published: 2018

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