q-Offset and q-Mannheim offset of ruled surface

E. Kasap, F. Güler

In this paper, we define a new adapted trihedron called q-geodesic trihedron. Using this frame, we construct q-offsets and q-Mannheim offsets of ruled surfaces. We present theorems for q-offsets and q-Mannheim offsets to be developable. Finally, we illustrate the theory with some examples.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(4) (2023), pp. 133-142