On the involute-evolute of the pseudonull curve in Minkowski 3-space
type: Item
instance of: scholarly article
title: On the involute-evolute of the pseudonull curve in Minkowski 3-space
zbMATH Open document ID: 1397.53019
DOI: 10.1155/2013/651495
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We have generalized the involute and evolute curves of the pseudonull curves \(\alpha\) in \(\mathbb E_1^3\); that is, \(\alpha\) is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the pseudonull curves \(\alpha\) in \(\mathbb E_1^3\). Secondly, we have found relationships between the evolute curve \(\beta \) and the pseudonull curve \(\alpha\) in \(\mathbb E_1^3\). Finally, some examples concerning these relations are given.
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 6950799
author: Ufuk Ozturk
author: Esra Betul Koc Ozturk
author: Kazim İlarslan
MaRDI profile type: Publication
Wikidata QID: Q59003575
full work available at URL: https://doi.org/10.1155/2013/651495
OpenAlex ID: W2007330373
DBLP publication ID: journals/jam/OzturkOI13
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description: scientific article; zbMATH DE number 6950799