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STUDIA MATHEMATICA - Issue no. 2 / 2016 | |||||||
Article: |
WEINGARTEN TUBE-LIKE SURFACES IN EUCLIDEAN 3-SPACE. Authors: . |
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Abstract: In this paper, we study a special kind of tube surfaces, so-called tube like surface in 3-dimensional Euclidean space E3. It is generated by sweeping a space curve along another central space curve. This study investigates a tube like surface satisfying some equations in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature. Furthermore, some important theorems are obtained. Finally, an example of tube like surface is used to demonstrate our theoretical results and graphed. Mathematics Subject Classification (2010): 53A04, 56B34, 53B25. Keywords: Tube-like surface, Gaussian curvature, mean curvature, second Gaussian curvature, second mean curvature, Weingarten surfaces, linear Weingarten surfaces, Euclidean 3-space.
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