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AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G(4)
- Yoon, Dae Won;
- Yuzbasi, Zuhal Kucukarslan
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4초록
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.
키워드
Galilean space; hypersurface; geodesic; SURFACE; CONSTRUCTION
- 제목
- AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G(4)
- 저자
- Yoon, Dae Won; Yuzbasi, Zuhal Kucukarslan
- 발행일
- 2018-11
- 유형
- Article
- 저널명
- 순수 및 응용수학
- 권
- 25
- 호
- 4
- 페이지
- 229 ~ 241