TY  - JOUR
TI  - Timelike loxodromes on Lorentzian helicoidal surfaces in Minkowski n-space
AB  - 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.
AU  - Bektas Demirci, Burcu
AU  - Öge, Zehra
AU  - BABAARSLAN, Murat
DO  - 10.31801/cfsuasmas.1007599
PY  - 2022
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 71
IS  - 3
SN  - 1303-5991
SP  - 856
EP  - 869
DB  - TRDizin
UR  - http://search/yayin/detay/1126007
ER  -