Realization of graphs by fold Gauss maps
type: Item
instance of: scholarly article
title: Realization of graphs by fold Gauss maps
zbMATH Open document ID: 1394.57028
author: C. Mendes de Jesus
author: Esther Sanabria-Codesal
published in: Topology and its Applications
publication date: 2018-01-05T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/155006
review text: In their previous paper [Bull. Braz. Math. Soc. (N.S.) 42, No. 1, 87--103 (2011; Zbl 1222.57032)], the authors developed an approach in the study of surfaces generically immersed in \(\mathbb R^3\) based on properties of weighted graphs. The main goal of the paper under review is to prove that a graph with total weight equal to zero is a graph corresponding to a fold (i.e., without cusps) Gauss map of a closed orientable surface if and only if it is a 2-negative graph.
reviewed by: Aleksandr G. Aleksandrov
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 57R65
Mathematics Subject Classification ID: 37E25
zbMATH DE Number: 6822555
zbMATH Keywords: stable Gauss maps
zbMATH Keywords: cusps of Gauss maps
zbMATH Keywords: weighted graphs
zbMATH Keywords: parabolic curves
zbMATH Keywords: global classification
MaRDI profile type: Publication
OpenAlex ID: W2769622526
cites work: Q3217281
cites work: Q4856527
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DOI: 10.1016/J.TOPOL.2017.11.016
description: scientific article; zbMATH DE number 6822555