NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE

NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE

In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3. Next, we derive certain results for non-null general helices and pseudospherical curves to satisfy Tzitzeica condition in E_1^3. Furth...

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Main Authors: Muhittin Evren AYDIN, Mahmut ERGÜT
Format: Article
Language:English
Published: Conspress 2014-05-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Tzitzeica curve
Rectifying curve
General helix
Pseudosphere
Minkowski space
Online Access:http://www.rjm-cs.ro/AydinErgut-2014.pdf
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spelling doaj-4200d6a460f24dbd874c10fecfe914eb2020-11-24T23:03:38ZengConspressRomanian Journal of Mathematics and Computer Science2247-689X2014-05-01418190NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACEMuhittin Evren AYDIN0Mahmut ERGÜT1Department of Mathematics, Firat University, Elazig, 23119, Turkey, E-mail address: meaydin@firat.edu.trDepartment of Mathematics, Firat University, Elazig, 23119, Turkey, E-mail address: mergut@firat.edu.trIn this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3. Next, we derive certain results for non-null general helices and pseudospherical curves to satisfy Tzitzeica condition in E_1^3. Further, we interest Tzitzeica pseudospherical indicatrices of a spacelike curve in E_1^3 .http://www.rjm-cs.ro/AydinErgut-2014.pdfTzitzeica curveRectifying curveGeneral helixPseudosphereMinkowski space
collection DOAJ
language English
format Article
sources DOAJ
author Muhittin Evren AYDIN
Mahmut ERGÜT
spellingShingle Muhittin Evren AYDIN
Mahmut ERGÜT
NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
Romanian Journal of Mathematics and Computer Science
Tzitzeica curve
Rectifying curve
General helix
Pseudosphere
Minkowski space
author_facet Muhittin Evren AYDIN
Mahmut ERGÜT
author_sort Muhittin Evren AYDIN
title NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
title_short NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
title_full NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
title_fullStr NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
title_full_unstemmed NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE
title_sort non-null curves of tzitzeica type in minkowski 3-space
publisher Conspress
series Romanian Journal of Mathematics and Computer Science
issn 2247-689X
publishDate 2014-05-01
description In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3. Next, we derive certain results for non-null general helices and pseudospherical curves to satisfy Tzitzeica condition in E_1^3. Further, we interest Tzitzeica pseudospherical indicatrices of a spacelike curve in E_1^3 .
topic Tzitzeica curve
Rectifying curve
General helix
Pseudosphere
Minkowski space
url http://www.rjm-cs.ro/AydinErgut-2014.pdf
work_keys_str_mv AT muhittinevrenaydin nonnullcurvesoftzitzeicatypeinminkowski3space
AT mahmutergut nonnullcurvesoftzitzeicatypeinminkowski3space
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