Singularities of translation surfaces in the Euclidean 3-space
type: Item
instance of: scholarly article
title: Singularities of translation surfaces in the Euclidean 3-space
zbMATH Open document ID: 1486.58022
author: Tomonori Fukunaga
author: Masatomo Takahashi
published in: Results in Mathematics
publication date: 2022-03-15T00:00:00Z
review text: In this paper, the authors study translation surfaces from a singularity theory viewpoint. They study singular points of translation surfaces using the method of framed surfaces and also the method of one-parameter families of framed curves. A framed surface is a smoothly parametrized surface in the Euclidean 3-space with a moving frame. By using the curvatures of one-parameter families of framed curves, the authors give relations between framed surfaces and one-parameter families of framed curves.
reviewed by: Maria Aparecida Soares Ruas
Mathematics Subject Classification ID: 58K05
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 53A55
zbMATH DE Number: 7490200
zbMATH Keywords: translation surface
zbMATH Keywords: framed surface
zbMATH Keywords: one-parameter family of framed curves
zbMATH Keywords: singularity
MaRDI profile type: Publication
full work available at URL: s00025-022-01622-7
OpenAlex ID: W4220735180
Wikidata QID: Q114231955
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DOI: 10.1007/S00025-022-01622-7
description: scientific article; zbMATH DE number 7490200