한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제27권2호
  • /
  • Pages.83-96
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  • 2020
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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SOME SPECIAL CURVES IN THREE DIMENSIONAL f-KENMOTSU MANIFOLDS

  • 투고 : 2019.08.08
  • 심사 : 2020.05.01
  • 발행 : 2020.05.31
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초록

In this paper we study Biharmonic curves, Legendre curves and Magnetic curves in three dimensional f-Kenmotsu manifolds. We also study 1-type curves in a three dimensional f-Kenmotsu manifold by using the mean curvature vector field of the curve. As a consequence we obtain for a biharmonic helix in a three dimensional f-Kenmotsu manifold with the curvature κ and the torsion τ, κ2 + τ2 = -(f2 + f'). Also we prove that if a 1-type non-geodesic biharmonic curve γ is helix, then λ = -(f2 + f').

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참고문헌

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