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Classification Theorems in Minkowski 3-space
Miekyung Choi
and
Young Ho Kim
*
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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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