2026-10-19T06:00:35Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/170292026-10-18T20:42:58Zopenairedrivercom_ebyu_10000col_ebyu_10001

ON THE QUATERNIONIC CURVES ACCORDING TO PARALLEL TRANSPORT FRAMESoyfidan, T.Parlatici, H.Gungor, M. A.Parallel transport framequaternionic curvesquaternionic M-3-slant helixrotationsquaternionic spaceMathematics, AppliedMathematicsIn 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 M-3 according to parallel transport frame and defined quaternionic M-3-slant helix by using the new harmonic curvature functions in E-4.INST APPLIED MATHEMATICS2013Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/170292076-2585enTWMS JOURNAL OF PURE AND APPLIED MATHEMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/17029