The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time
Yıl: 2020 Cilt: 22 Sayı: 64 Sayfa Aralığı: 59 - 66 Metin Dili: İngilizce DOI: 10.21205/deufmd.2020226407 İndeks Tarihi: 30-10-2020
The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time
Öz: We know that 𝑊 −curve is a curve which has constant Frenet curvatures. In this study, firstly, wehave investigated the principal normal and binormal spherical images of a timelike 𝑊 −curve onpseudohyperbolic space ℍ03in Minkowski space-time 𝐸14. Besides, the binormal spherical image ofthe timelike 𝑊 −curve is a spacelike curve which lies on pseudohyperbolic space ℍ03. Hence, we haveobtained the Frenet-Serret invariants of the mentioned image curve in terms of the invariants of thetimelike W-curve in the same space. Finally, we have given some characterizations of the sphericalimage in the case of being helix for the timelike 𝑊 −curve in Minkowski space-time 𝐸14
Anahtar Kelime: Minkowski Uzay-Zamanda Timelike W-Eğrilerin Küresel Göstergelerinin Karakterizasyonları
Öz: 𝑊 −eğrisinin sabit Frenet eğriliklerine sahip bir eğri olduğunu biliyoruz. Bu çalışmada, öncelikle, 𝐸1 4 Minkowski uzay-zamanında, ℍ0 3 pseudohiperbolik uzay üzerinde bir timelike 𝑊 −eğrisinin asli normal ve binormal küresel göstergelerini araştırdık. Yanısıra, ℍ0 3 pseudohiperbolik uzay üzerinde yatan timelike 𝑊 −eğrisinin binormal küresel göstergesi spacelike bir eğridir. Bu nedenle, aynı uzayda, söz konusu görüntü eğrisinin Frenet-Serret değişmezlerini timelike 𝑊 −eğrisinin değişmezleri cinsinden elde ettik. Son olarak, 𝐸1 4 Minkowski uzay-zamanındaki timelike 𝑊 −eğrisi için helis olması durumunda küresel göstergenin bazı karakterizasyonlarını verdik
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | UNLUTURK Y, Yilmaz S, Cimdiker Aslan M (2020). The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. , 59 - 66. 10.21205/deufmd.2020226407 |
| Chicago | UNLUTURK YASİN,Yilmaz SUHA,Cimdiker Aslan Muradiye The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. (2020): 59 - 66. 10.21205/deufmd.2020226407 |
| MLA | UNLUTURK YASİN,Yilmaz SUHA,Cimdiker Aslan Muradiye The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. , 2020, ss.59 - 66. 10.21205/deufmd.2020226407 |
| AMA | UNLUTURK Y,Yilmaz S,Cimdiker Aslan M The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. . 2020; 59 - 66. 10.21205/deufmd.2020226407 |
| Vancouver | UNLUTURK Y,Yilmaz S,Cimdiker Aslan M The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. . 2020; 59 - 66. 10.21205/deufmd.2020226407 |
| IEEE | UNLUTURK Y,Yilmaz S,Cimdiker Aslan M "The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time." , ss.59 - 66, 2020. 10.21205/deufmd.2020226407 |
| ISNAD | UNLUTURK, YASİN vd. "The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time". (2020), 59-66. https://doi.org/10.21205/deufmd.2020226407 |
| APA | UNLUTURK Y, Yilmaz S, Cimdiker Aslan M (2020). The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, 22(64), 59 - 66. 10.21205/deufmd.2020226407 |
| Chicago | UNLUTURK YASİN,Yilmaz SUHA,Cimdiker Aslan Muradiye The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 22, no.64 (2020): 59 - 66. 10.21205/deufmd.2020226407 |
| MLA | UNLUTURK YASİN,Yilmaz SUHA,Cimdiker Aslan Muradiye The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, vol.22, no.64, 2020, ss.59 - 66. 10.21205/deufmd.2020226407 |
| AMA | UNLUTURK Y,Yilmaz S,Cimdiker Aslan M The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi. 2020; 22(64): 59 - 66. 10.21205/deufmd.2020226407 |
| Vancouver | UNLUTURK Y,Yilmaz S,Cimdiker Aslan M The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi. 2020; 22(64): 59 - 66. 10.21205/deufmd.2020226407 |
| IEEE | UNLUTURK Y,Yilmaz S,Cimdiker Aslan M "The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time." Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, 22, ss.59 - 66, 2020. 10.21205/deufmd.2020226407 |
| ISNAD | UNLUTURK, YASİN vd. "The Characterizations of the Spherical Images of Timelike W-Curves in Minkowski Space-Time". Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 22/64 (2020), 59-66. https://doi.org/10.21205/deufmd.2020226407 |
