TY  - JOUR
T1  - Elementary Approachs on De Sitter Space
AU  - Öztürk, Emre
AU  - Yaylı, Yusuf
PY  - 2019
DA  - October
Y2  - 2019
DO  - 10.36753/mathenot.583477
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 183
EP  - 190
VL  - 7
IS  - 2
LA  - en
AB  - In this paper, we characterize the de Sitter space by means of spacelike and timelike curves that fullylies on it. For this purpose, we consider the tangential part of the second derivative of the unit speedcurve on the hypersurface, and obtain the vector equations of the geodesics. We find the geodesics ashyperbolas, ellipses, and helices. Moreover, we give an example of null curve with constant curvature in4−dimensional Minkowski space and we illustrate the geodesics of S11(r) × R .
KW  - De Sitter space
KW  - geodesic
KW  - curve with constant curvature
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UR  - https://doi.org/10.36753/mathenot.583477
L1  - https://dergipark.org.tr/en/download/article-file/833553
ER  -