On normal curves and their characterizations in Lorentzian n-space
This paper deals with the generalization of null and non-null normal curves in Lorentzian <em>n</em> -space <em>E</em><sub>1</sub><sup><em>n</em></sup>. We reveal necessary and sufficient condition for a curve to be a normal curve in Lorent...
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AIMS Press
2020-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020228/fulltext.html |
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doaj-1bf5ffa2963a4a0587fea3556c1a240d2020-11-25T02:30:12ZengAIMS PressAIMS Mathematics2473-69882020-04-01543510352410.3934/math.2020228On normal curves and their characterizations in Lorentzian n-spaceÖzgür Boyacıoğlu Kalkan0Afyon Vocational School, Afyon Kocatepe University, 03200, Afyonkarahisar-TurkeyThis paper deals with the generalization of null and non-null normal curves in Lorentzian <em>n</em> -space <em>E</em><sub>1</sub><sup><em>n</em></sup>. We reveal necessary and sufficient condition for a curve to be a normal curve in Lorentzian <em>n</em> -space <em>E</em><sub>1</sub><sup><em>n</em></sup>. We obtain the relationship between the curvatures for any arclength parametrized curve to be congruent to a normal curve in <em>E</em><sub>1</sub><sup><em>n</em></sup>. Moreover, we give differential equations by introducing a differentiable function <em>f</em>(<em>s</em>) which can be solved explicitly for a curve to be congruent to a normal curve.https://www.aimspress.com/article/10.3934/math.2020228/fulltext.htmllorentzian n -spacenull normal curvesnon-null normal curvesfrenet equationscurvatures |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Özgür Boyacıoğlu Kalkan |
| spellingShingle |
Özgür Boyacıoğlu Kalkan On normal curves and their characterizations in Lorentzian n-space AIMS Mathematics lorentzian n -space null normal curves non-null normal curves frenet equations curvatures |
| author_facet |
Özgür Boyacıoğlu Kalkan |
| author_sort |
Özgür Boyacıoğlu Kalkan |
| title |
On normal curves and their characterizations in Lorentzian n-space |
| title_short |
On normal curves and their characterizations in Lorentzian n-space |
| title_full |
On normal curves and their characterizations in Lorentzian n-space |
| title_fullStr |
On normal curves and their characterizations in Lorentzian n-space |
| title_full_unstemmed |
On normal curves and their characterizations in Lorentzian n-space |
| title_sort |
on normal curves and their characterizations in lorentzian n-space |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2020-04-01 |
| description |
This paper deals with the generalization of null and non-null normal curves in Lorentzian <em>n</em> -space <em>E</em><sub>1</sub><sup><em>n</em></sup>. We reveal necessary and sufficient condition for a curve to be a normal curve in Lorentzian <em>n</em> -space <em>E</em><sub>1</sub><sup><em>n</em></sup>. We obtain the relationship between the curvatures for any arclength parametrized curve to be congruent to a normal curve in <em>E</em><sub>1</sub><sup><em>n</em></sup>. Moreover, we give differential equations by introducing a differentiable function <em>f</em>(<em>s</em>) which can be solved explicitly for a curve to be congruent to a normal curve. |
| topic |
lorentzian n -space null normal curves non-null normal curves frenet equations curvatures |
| url |
https://www.aimspress.com/article/10.3934/math.2020228/fulltext.html |
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AT ozgurboyacıoglukalkan onnormalcurvesandtheircharacterizationsinlorentziannspace |
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1724829339055292416 |