Title of article :
ON THE QUATERNIONIC CURVES ACCORDING TO PARALLEL TRANSPORT FRAME
Author/Authors :
SOYFIDAN, T. Erzincan University - Faculty of Arts and Sciences - Department of Mathematics, Turkey , PARLATICI, H. Sakarya University - Faculty of Arts and Sciences - Department of Mathematics, Turkey , GUNGOR, M.A. Sakarya University - Faculty of Arts and Sciences - Department of Mathematics, Turkey
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
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
