TY  - JOUR
T1  - Some Characterizations of Spherical Indicatrix Curves Generated by Sannia Frame
AU  - Ayvacı, Kebire Hilal
AU  - Şenyurt, Süleyman
AU  - Canlı, Davut
PY  - 2021
DA  - October
Y2  - 2021
JF  - Konuralp Journal of Mathematics
JO  - Konuralp J. Math.
PB  - Mehmet Zeki SARIKAYA
WT  - DergiPark
SN  - 2147-625X
SP  - 222
EP  - 232
VL  - 9
IS  - 2
LA  - en
AB  - In this study, we have first provided the relations between the Frenet frame and Sannia frame on the striction points of four ruled surfaces ofeach formed by taking the basis as the tangent, normal, binormal and Darboux vector. Second, we have defined the relations between theSannia vectors and their derivatives. For each Sannia frame, we have calculated the Darboux frame and expressed those in terms of Frenetframe. Last, we have obtained the arc lengths and the geodesic curvatures according to both Euclidean space E3 and unit sphere S2 of Sanniavectors for each four of ruled surfaces.
KW  - Ruled surface
KW  - Sannia frame
KW  - Striction curve
KW  - Spherical indicatrix
KW  - Geodesic curvature.
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UR  - https://dergipark.org.tr/en/pub/konuralpjournalmath/article/944486
L1  - https://dergipark.org.tr/en/download/article-file/1794040
ER  -