Contents V4, No.2, 2013

  • ON THE QUATERNIONIC CURVES ACCORDING TO PARALLEL TRANSPORT FRAME
    T. SOYFIDAN , H. PARLATICI, M.A. GUNGOR (pp. 194-203)
  • Abstract.

    In this paper, we have studied parallel transport frame for a quaternionic curve in E 3 and E 4 . Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and sufficient conditions for the quaternionic slant helix in E 3 . We have introduced a new definition of harmonic curvature functions in terms of M3 according to parallel transport frame and defined quaternionic M3−slant helix by using the new harmonic curvature functions in E 4 .

    Keywords:

    Parallel transport frame, quaternionic curves, quaternionic M3−slant helix, rotations, quaternionic space.

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