Smarandache ruled surfaces according to Frenet-Serret frame of a regular curve in \(E^3\) (Q2664853)

Summary: In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in \(E^3\). It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations.