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Classification theorems of ruled surfaces in Minkowski three-space - MaRDI portal

Classification theorems of ruled surfaces in Minkowski three-space (Q2337282)

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Classification theorems of ruled surfaces in Minkowski three-space
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    Classification theorems of ruled surfaces in Minkowski three-space (English)
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    19 November 2019
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    Summary: 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.
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    ruled surface
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    null scroll
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    Minkowski space
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    pointwise 1-type Gauss map
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    generalized 1-type Gauss map
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    conical surface of \(G\)-type
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