TY  - JOUR
T1  - Ruled Surfaces and Tangent Bundle of Unit 2-Sphere of Natural Lift Curves
AU  - Çalışkan, Mustafa
AU  - Karaca, Emel
PY  - 2020
DA  - September
DO  - 10.35378/gujs.588496
JF  - Gazi University Journal of Science
PB  - Gazi University
WT  - DergiPark
SN  - 2147-1762
SP  - 751
EP  - 759
VL  - 33
IS  - 3
LA  - en
AB  - This article deals with the isomorphism between unit dual sphere,  DS^2, and the subset of the tangent bundle of unit 2-sphere, TM ̅. According to E. Study mapping, a ruled surface in〖 R〗^3corresponds to each curve on DS^2. Through this correspondence, a unique ruled surface in R^3is corresponded to natural lift curve on TM ̅. Then striction curve, shape operator, mean curvature and Gaussian curvature of these ruled surfaces obtained by the natural lift curves are calculated. Developabilitiy condition of these ruled surfaces is given. Finally, we give an example to support the main results.
KW  - Natural lift
KW  - Tangent bundle
KW  - Unit dual sphere
KW  - Ruled surface
KW  - Study’s map
CR  - Referans 1 Hathout, F., Bekar, M., Yaylı, Y., “Ruled surfaces and tangent bundle of unit 2-sphere” International Journal of Geometric Methods in Modern Physics, 2: (2017).
CR  - Referans 2 Bekar, M., Hathout, F., Yaylı, Y., “Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space”, General Letters in Mathematics, 5: 58-70, (2018).
CR  - Referans 3 Ergün, E., Çalışkan, M., “On natural lift of a curve”, Pure Mathematical Sciences, 2:  81-85, (2012).
UR  - https://doi.org/10.35378/gujs.588496
L1  - https://dergipark.org.tr/en/download/article-file/1148707
ER  -