Designing approximation minimal parametric surfaces with geodesics
β Scribed by Li, Cai-Yun; Wang, Ren-Hong; Zhu, Chun-Gang
- Book ID
- 121286075
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 803 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0307-904X
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π SIMILAR VOLUMES
Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections are studied. We prove that complete connected minimal surfaces in a 5-dimensional pseudo-Euclidean space with geodesic normal sections are totally geodesic or fiat quadric.
In this paper, we study the problem of constructing a family of surfaces from a given spatial geodesic curve. We derive a parametric representation for a surface pencil whose members share the same geodesic curve as an isoparametric curve. By utilizing the Frenet trihedron frame along the given geod