Generalized osculating‐type ruled surfaces of singular curves

Abstract

In this study, we introduce generalized osculating‐type ruled surfaces of special singular curves. We give some theories and results about the geometric structure of the surface. In addition, the singular point classes of the surface are examined, and the conditions for being a cross‐cap surface are expressed. Generalized osculating‐type ruled surface is considered as a framed surface and its basic invariants are found and some results are given. Finally, we give some examples and figures to support the theories.