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On the offsets of ruled surfaces in euclidean spaceopen access
- Authors
- Yoon, D.W.
- Issue Date
- 2016
- Publisher
- Academic Press
- Keywords
- Constant curvature surface; Linear Weingarten surface; Offset; Ruled surface
- Citation
- International Journal of Pure and Applied Mathematics, v.108, no.4, pp 985 - 997
- Pages
- 13
- Indexed
- SCOPUS
- Journal Title
- International Journal of Pure and Applied Mathematics
- Volume
- 108
- Number
- 4
- Start Page
- 985
- End Page
- 997
- ISSN
- 1311-8080
- Abstract
- "In the present paper, we study evolute offsets of a non-developable ruled surface in Euclidean 3-space E3 and classify the evolute offset with constant Gaussian curvature and constant mean curvature. In last section, we investigate linear Weingarten evolute offsets in E3. A linear Weingarten surface is the surface having a linear equation between the Gaussian curvature and the mean curvature of a surface. ? 2016 Academic Publications, Ltd.
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