• Shankar Lal

In the present paper, we introduce Smarandache curves in the Euclidean space of parallel transport frame. In the section one, we give basic tools of parallel transport frame of a curve in 4-dimensional Euclidean space. In section two, we study the parallel transport frame of Euclidean space, besides we solve few theorems, corollary and illustrate examples. Again section three, we define parallel transport frame to the Smarandache curve and obtain some definitions, theorems and their apparatus. Further section four, we have also explained to Frenet frame of principal normal, binomial and derivatives in the curvature of the curve. In the end, we discussed about the Smarandache curve in the Euclidean space of all apparatus Ferret-Serret.

Smarandache Curves, Frenet-Serret, Euclidean Space, parallel transport frame etc.

"Smarandache curves in Euclidean space of parallel transport frame", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 7, page no.32-39, July 2019, Available :http://www.jetir.org/papers/JETIRDE06007.pdf

"Smarandache curves in Euclidean space of parallel transport frame", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 7, page no. pp32-39, July 2019, Available at : http://www.jetir.org/papers/JETIRDE06007.pdf