IJPAM: Volume 108, No. 4 (2016)

ON THE OFFSETS OF RULED SURFACES
IN EUCLIDEAN SPACE

Dae Won Yoon
Department of Mathematics Education and RINS
Gyeongsang National University
Jinju 52828, REPUBLIC OF KOREA


Abstract. In the present paper, we study evolute offsets of a non-developable ruled surface in Euclidean 3-space $\Bbb E^3$ and classify the evolute offset with constant Gaussian curvature and constant mean curvature. In last section, we investigate linear Weingarten evolute offsets in $\Bbb E^3$. A linear Weingarten surface is the surface having a linear equation between the Gaussian curvature and the mean curvature of a surface.

Received: February 16, 2016

AMS Subject Classification: 53C30, 53B25

Key Words and Phrases: linear Weingarten surface, offset, constant curvature surface, ruled surface

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DOI: 10.12732/ijpam.v108i4.22 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 4
Pages: 985 - 997


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