Bibliographic Details
| Title: |
SURFACES FAMILY WITH COMMON SMARANDACHE GEODESIC CURVE. |
| Authors: |
Atalay, Gulnur Saffak1 gulnur.saffak@omu.edu.tr, Kasap, Emin2 kasape@omu.edu.tr |
| Source: |
Journal of Science & Arts. 2017, Vol. 17 Issue 4, p651-664. 14p. |
| Subject Terms: |
*GEODESIC equation, *SMARANDACHE function, *GEODESICS, *EUCLIDEAN distance, *PARAMETRIC equations |
| Abstract: |
In this paper, we analyzed the problem of finding a surfaces family through a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we constructed a differential equation system such that a given Smarandache curves satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined. Finally, we demonstrated some interesting surfaces about subject. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Complete |
