The null blow-up of a surface in Minkowski 3-space and intersection in the spacelike Grassmann
type: Item
instance of: scholarly article
title: The null blow-up of a surface in Minkowski 3-space and intersection in the spacelike Grassmann
zbMATH Open document ID: 0755.53037
author: Marek Kossowski
published in: Michigan Mathematical Journal
publication date: 1992-09-27T00:00:00Z
review text: The author studies smoothly immersed compact orientable surfaces \(Q\) in a 3 dimensional Minkowski space and decomposes them into a disjoint union \(D^ +\cup D^ 0\cup D^ -\), where the induced metric is positive definite on \(D^ +\), degenerated on \(D^ 0\), and indefinite on \(D^ - \). He constructs a Gauss map for \(D^ 0\) into the compactified spacelike Grassmannian, e.g.: \(D^ 0\to S^ 1\times S^ 1\). Spacelike loops are studied, a degree formula is established, examples and applications are given.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 59883
zbMATH Keywords: Gauss map
zbMATH Keywords: Spacelike loops
zbMATH Keywords: degree formula
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029004391
OpenAlex ID: W1982692437
DOI: 10.1307/MMJ/1029004391
description: scientific article; zbMATH DE number 59883