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Preserved in Portico This version is not peer-reviewed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.
Keywords
ruled surface; null scroll; Minkowski space; pointwise 1-type Gauss map; generalized $1$-type Gauss map;conical surface of $G$-type
Subject
MATHEMATICS & COMPUTER SCIENCE, Geometry & Topology
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.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.
Leave a public commentSend a private comment to the author(s)