In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E 3 1. Using the usual transformation between Fre

In this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we

In the present paper, we investigate special Smarandache curves with Darboux apparatus with respect to Frenet and Darboux frame of an arbitrary curve on a surfa

In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric propert

In di⁄erential geometry, there are many important consequences and properties of curves studied by some authors. Researchers always introduce some new curves