TY  - JOUR
T1  - Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space
AU  - Atalay, Gülnur Şaffak
AU  - Kasap, Emin
PY  - 2016
DA  - April
DO  - 10.36753/mathenot.421425
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 164
EP  - 174
VL  - 4
IS  - 1
LA  - en
AB  - In this paper, we analyzed the problem of consructing a family of surfaces from a given some specialSmarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space,we express the family of surfaces as a linear combination of the components of this frame, and derivethe necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametricrequirements. Finally, examples are given to show the family of surfaces with common Smarandachegeodesic curve.
KW  - Bishop frame
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UR  - https://doi.org/10.36753/mathenot.421425
L1  - https://dergipark.org.tr/en/download/article-file/468602
ER  -