Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Classification Theorems in Minkowski 3-space

Version 1 : Received: 16 November 2018 / Approved: 20 November 2018 / Online: 20 November 2018 (11:37:03 CET)

A peer-reviewed article of this Preprint also exists.

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

Journal reference: Mathematics 2018, 6, 318
DOI: 10.3390/math6120318

## 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.

## Subject Areas

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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