Yıl: 2022 Cilt: 71 Sayı: 3 Sayfa Aralığı: 856 - 869 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1007599 İndeks Tarihi: 29-09-2022

Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space

Öz:
In this paper, we examine timelike loxodromes on three kinds of Lorentzian helicoidal surfaces in Minkowski nn-space. First, we obtain the first order ordinary differential equations which determine timelike loxodromes on the Lorentzian helicoidal surfaces in En1E1n according to the causal characters of their meridian curves. Then, by finding general solutions, we get the explicit parametrizations of such timelike loxodromes. In particular, we investigate the timelike loxodromes on the three kinds of Lorentzian right helicoidal surfaces in En1E1n. Finally, we give an example to visualize the results.
Anahtar Kelime: Loxodromes (rhumb lines) navigation rotational surfaces helicoidal surfaces Minkowski space

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Bektas Demirci B, BABAARSLAN M, Öge Z (2022). Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. , 856 - 869. 10.31801/cfsuasmas.1007599
Chicago Bektas Demirci Burcu,BABAARSLAN Murat,Öge Zehra Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. (2022): 856 - 869. 10.31801/cfsuasmas.1007599
MLA Bektas Demirci Burcu,BABAARSLAN Murat,Öge Zehra Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. , 2022, ss.856 - 869. 10.31801/cfsuasmas.1007599
AMA Bektas Demirci B,BABAARSLAN M,Öge Z Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. . 2022; 856 - 869. 10.31801/cfsuasmas.1007599
Vancouver Bektas Demirci B,BABAARSLAN M,Öge Z Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. . 2022; 856 - 869. 10.31801/cfsuasmas.1007599
IEEE Bektas Demirci B,BABAARSLAN M,Öge Z "Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space." , ss.856 - 869, 2022. 10.31801/cfsuasmas.1007599
ISNAD Bektas Demirci, Burcu vd. "Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space". (2022), 856-869. https://doi.org/10.31801/cfsuasmas.1007599
APA Bektas Demirci B, BABAARSLAN M, Öge Z (2022). Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71(3), 856 - 869. 10.31801/cfsuasmas.1007599
Chicago Bektas Demirci Burcu,BABAARSLAN Murat,Öge Zehra Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71, no.3 (2022): 856 - 869. 10.31801/cfsuasmas.1007599
MLA Bektas Demirci Burcu,BABAARSLAN Murat,Öge Zehra Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.71, no.3, 2022, ss.856 - 869. 10.31801/cfsuasmas.1007599
AMA Bektas Demirci B,BABAARSLAN M,Öge Z Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(3): 856 - 869. 10.31801/cfsuasmas.1007599
Vancouver Bektas Demirci B,BABAARSLAN M,Öge Z Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(3): 856 - 869. 10.31801/cfsuasmas.1007599
IEEE Bektas Demirci B,BABAARSLAN M,Öge Z "Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71, ss.856 - 869, 2022. 10.31801/cfsuasmas.1007599
ISNAD Bektas Demirci, Burcu vd. "Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71/3 (2022), 856-869. https://doi.org/10.31801/cfsuasmas.1007599