• 제목/요약/키워드: Frenet planes

검색결과 3건 처리시간 0.015초

CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE

  • Ucum, Ali;Ilarslan, Kazim;Karakus, Siddika Ozkaldi
    • 호남수학학술지
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    • 제36권3호
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    • pp.475-492
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    • 2014
  • In this study, we have investigated the possibility of whether any spacelike Frenet plane of a given space curve in Minkowski 3-space $\mathbb{E}_1^3$ also is any spacelike Frenet plane of another space curve in the same space. We have obtained some characterizations of a given space curve by considering nine possible case.

A NEW APPROACH FOR CHARACTERIZATION OF CURVE COUPLES IN EUCLIDEAN 3-SPACE

  • Karakus, Siddika Ozkaldi;Ilarslan, Kazim;Yayli, Yusuf
    • 호남수학학술지
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    • 제36권1호
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    • pp.113-129
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    • 2014
  • In this study, we have investigated the possibility of whether any Frenet plane of a given space curve in a 3-dimensional Euclidean space $\mathbb{E}_3$ also is any Frenet plane of another space curve in the same space. We have obtained some characterizations of a given space curve by considering nine possible case.