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AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G4

윤대원|ZÜHAL KÜÇÜKARSLAN YÜZBAŞI
한국수학교육학회|2018.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제25권 제4호|pp. 229-241|DOI https://doi.org/10.7468/jksmeb.2018.25.4.229

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참고문헌

키워드

geodesichypersurfaceGalilean space
주제분류수학

초록

In the present study, we derive the problem of constructing a hypersur-face family from a given isogeodesic curve in the 4D Galilean space G4: We obtain the hypersurface as a linear combination of the Frenet frame in G4 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.

Abstract

In the present study, we derive the problem of constructing a hypersur-face family from a given isogeodesic curve in the 4D Galilean space G4: We obtain the hypersurface as a linear combination of the Frenet frame in G4 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.

참고문헌 (17)

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