Contributions to differential geometry of spacelike curves in Lorentzian plane L2

‎In this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in Lorentzian plane $\mathbb{L}^{2}.$ Then the‎ ‎special curves mentioned above are studied in Lorentzian plane $\mathbb{L}%‎‎^{2}.$ Finally some characterizations of these special curves...

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Main Authors: YASIN UNLUTURK, ‎SUHA YILMAZ, MURADIYE CIMDIKER
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2017-05-01
Series:Journal of Mahani Mathematical Research
Subjects:
Online Access:https://jmmrc.uk.ac.ir/article_1640_ba755e0999e153a3aa4ed06a2a0633f8.pdf
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author YASIN UNLUTURK
‎SUHA YILMAZ
MURADIYE CIMDIKER
author_facet YASIN UNLUTURK
‎SUHA YILMAZ
MURADIYE CIMDIKER
author_sort YASIN UNLUTURK
collection DOAJ
description ‎In this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in Lorentzian plane $\mathbb{L}^{2}.$ Then the‎ ‎special curves mentioned above are studied in Lorentzian plane $\mathbb{L}%‎‎^{2}.$ Finally some characterizations of these special curves are given in‎ ‎$\mathbb{L}^{2}.$‎
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publisher Shahid Bahonar University of Kerman
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spelling doaj.art-e5879085446f4f3f979a6e485221ea042023-06-17T04:07:08ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2645-45052017-05-016111210.22103/jmmrc.2017.16401640Contributions to differential geometry of spacelike curves in Lorentzian plane L2YASIN UNLUTURK0‎SUHA YILMAZ1MURADIYE CIMDIKER2DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,BUCA FACULTY OF EDUCATION, DOKUZ EYLUL UNIVERSITY, 35150, BUCA-IZMIR, TURKEY,DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,‎In this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in Lorentzian plane $\mathbb{L}^{2}.$ Then the‎ ‎special curves mentioned above are studied in Lorentzian plane $\mathbb{L}%‎‎^{2}.$ Finally some characterizations of these special curves are given in‎ ‎$\mathbb{L}^{2}.$‎https://jmmrc.uk.ac.ir/article_1640_ba755e0999e153a3aa4ed06a2a0633f8.pdfspacelike curvelorentzian planecircular indicatricessmarandache curvescurves of constant breadth
spellingShingle YASIN UNLUTURK
‎SUHA YILMAZ
MURADIYE CIMDIKER
Contributions to differential geometry of spacelike curves in Lorentzian plane L2
Journal of Mahani Mathematical Research
spacelike curve
lorentzian plane
circular indicatrices
smarandache curves
curves of constant breadth
title Contributions to differential geometry of spacelike curves in Lorentzian plane L2
title_full Contributions to differential geometry of spacelike curves in Lorentzian plane L2
title_fullStr Contributions to differential geometry of spacelike curves in Lorentzian plane L2
title_full_unstemmed Contributions to differential geometry of spacelike curves in Lorentzian plane L2
title_short Contributions to differential geometry of spacelike curves in Lorentzian plane L2
title_sort contributions to differential geometry of spacelike curves in lorentzian plane l2
topic spacelike curve
lorentzian plane
circular indicatrices
smarandache curves
curves of constant breadth
url https://jmmrc.uk.ac.ir/article_1640_ba755e0999e153a3aa4ed06a2a0633f8.pdf
work_keys_str_mv AT yasinunluturk contributionstodifferentialgeometryofspacelikecurvesinlorentzianplanel2
AT suhayilmaz contributionstodifferentialgeometryofspacelikecurvesinlorentzianplanel2
AT muradiyecimdiker contributionstodifferentialgeometryofspacelikecurvesinlorentzianplanel2