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초록
"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.
키워드
Constant curvature surface; Linear Weingarten surface; Offset; Ruled surface
- 제목
- On the offsets of ruled surfaces in euclidean space
- 저자
- Yoon, D.W.
- 발행일
- 2016
- 유형
- Article
- 권
- 108
- 호
- 4
- 페이지
- 985 ~ 997