Smarandache Ruled Surfaces According to Bishop Frame in E3

Abstract

This paper introduces new ruled surfaces according to Bishop frame by referring to the main idea of Smarandache geometry. The fundamental forms and the corresponding curvatures are provided to put forth some characteristics of each surface. Finally, an example is given to illustrate the constructed surfaces.

The short version of this paper was presented in 4th International Conference on Mathematical and Related Sciences (ICMRS 2021) held in 22-24 October 2021