On Smarandache Curves in Affine 3-Space

In this paper, we introduce Smarandache curves of an affine $C^∞$-curve in affine 3-space. Besides, we present the relationship between the Frenet frames of the curve couple and the Frenet apparatus of each obtained curve.

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Main Authors: Ayşegül Emir, Pınar Haskul, Burcu Sarıkaya, Ufuk Öztürk
Format: Article
Language:English
Published: Naim Çağman 2022-03-01
Series:Journal of New Theory
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/2252458
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author Ayşegül Emir
Pınar Haskul
Burcu Sarıkaya
Ufuk Öztürk
author_facet Ayşegül Emir
Pınar Haskul
Burcu Sarıkaya
Ufuk Öztürk
author_sort Ayşegül Emir
collection DOAJ
description In this paper, we introduce Smarandache curves of an affine $C^∞$-curve in affine 3-space. Besides, we present the relationship between the Frenet frames of the curve couple and the Frenet apparatus of each obtained curve.
format Article
id doaj-art-533e46d984ec49fda1c88078ea8ae2fe
institution DOAJ
issn 2149-1402
language English
publishDate 2022-03-01
publisher Naim Çağman
record_format Article
series Journal of New Theory
spelling doaj-art-533e46d984ec49fda1c88078ea8ae2fe2025-08-20T03:10:57ZengNaim ÇağmanJournal of New Theory2149-14022022-03-0138616910.53570/jnt.10733232425On Smarandache Curves in Affine 3-SpaceAyşegül Emir0https://orcid.org/0000-0002-7295-4925Pınar Haskul1https://orcid.org/0000-0002-2191-8449Burcu Sarıkaya2https://orcid.org/0000-0002-5866-3144Ufuk Öztürk3https://orcid.org/0000-0002-8800-7869CANKIRI KARATEKIN UNIVERSITYCANKIRI KARATEKIN UNIVERSITYCANKIRI KARATEKIN UNIVERSITYÇANKIRI KARATEKİN ÜNİVERSİTESİIn this paper, we introduce Smarandache curves of an affine $C^∞$-curve in affine 3-space. Besides, we present the relationship between the Frenet frames of the curve couple and the Frenet apparatus of each obtained curve.https://dergipark.org.tr/en/download/article-file/2252458affine curveaffine framesmarandache curvesaffine $3-$space
spellingShingle Ayşegül Emir
Pınar Haskul
Burcu Sarıkaya
Ufuk Öztürk
On Smarandache Curves in Affine 3-Space
Journal of New Theory
affine curve
affine frame
smarandache curves
affine $3-$space
title On Smarandache Curves in Affine 3-Space
title_full On Smarandache Curves in Affine 3-Space
title_fullStr On Smarandache Curves in Affine 3-Space
title_full_unstemmed On Smarandache Curves in Affine 3-Space
title_short On Smarandache Curves in Affine 3-Space
title_sort on smarandache curves in affine 3 space
topic affine curve
affine frame
smarandache curves
affine $3-$space
url https://dergipark.org.tr/en/download/article-file/2252458
work_keys_str_mv AT aysegulemir onsmarandachecurvesinaffine3space
AT pınarhaskul onsmarandachecurvesinaffine3space
AT burcusarıkaya onsmarandachecurvesinaffine3space
AT ufukozturk onsmarandachecurvesinaffine3space