On pseudospherical Smarandache curves in Minkowski 3-space
type: Item
instance of: scholarly article
title: On pseudospherical Smarandache curves in Minkowski 3-space
zbMATH Open document ID: 1406.53007
DOI: 10.1155/2014/404521
author: Emilija Nešović
author: Esra Betul Koc Ozturk
author: Ufuk Ozturk
author: Kazim İlarslan
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame's vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve \(\alpha\), then \(\alpha\) has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 7010623
Wikidata QID: Q59051244
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/404521
OpenAlex ID: W2090166789
description: scientific article; zbMATH DE number 7010623