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- Title
A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space G 3.
- Authors
Al-Jedani, Awatif; Abdel-Baky, Rashad A.
- Abstract
This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G 3 . Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it. Furthermore, we resolve the conditions when the surface is a ruled surface. Consequently, its ability to develop with the mutual geodesic of the elements of the surface family is researched. Meanwhile, we explain this approach by submitting considerable examples.
- Subjects
FAMILY research; FAMILIES
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 13, p2971
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11132971