Surfaces family with common Smarandache asymptotic curve

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in  Euclidean 3-space. Using the Frenet 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 deri...

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Bibliographic Details
Main Authors: Gulnur Saffak Atalay, Emin Kasap
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2016-09-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24392