Submitted:
16 November 2018
Posted:
20 November 2018
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Abstract
By generalizing the notion of 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 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
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