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AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G(4)
- Issue Date
- Nov-2018
- Publisher
- KOREAN SOC MATHEMATICAL EDUCATION
- Keywords
- Galilean space; hypersurface; geodesic
- Citation
- JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, v.25, no.4, pp 229 - 241
- Pages
- 13
- Indexed
- ESCI
KCI
- Journal Title
- JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS
- Volume
- 25
- Number
- 4
- Start Page
- 229
- End Page
- 241
- ISSN
- 1226-0657
2287-6081
- Abstract
- In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space G(4). We obtain the hypersurface as a linear combination of the Frenet frame in G(4) and examine the necessary and sufficient conditions for the curve as a geodesic curve. Finally, some examples related to our method are given for the sake of clarity.
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