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On the tubular surfaces in E3

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.5, No. 1)

Publication Date:

Authors : ; ;

Page : 40-50

Keywords : Surface at a constant distance from the edge of regression on a surface Tubular surfaces Geodesic curve Asymptotic curve Line of curvature.;

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Abstract

In this study, we obtain surface at a constant distance from the edge of regression on a tubular surface indicated by M^{f}, condition that M is denoted by a tubular surface in E^{3}. First of all, we show that M^{f} is a tubular surface, for lambda _{1}=0. Then, we calculate curvatures of M^{f} and find some relationships between curvatures of surfaces M and M^{f}. Besides, we research center curve of the tubular surfaces for some special cases.

Last modified: 2017-01-26 01:53:27