Minimal Curves on Ruled Surfaces Generated by Legendre Curves
Yusuf Yaylı, İsmet Gölgeleyen · Journal of New Theory · 2024
In this paper, we study the conditions under which Legendre curves on ruled surfaces are classified as minimal loci. By investigating the scenario where the directive curve is a binormal vector, we establish the criteria for these curves to have minimal loci on B-scroll-ruled surfaces. Furthermore, we present illustrative examples showcasing concrete instances of minimal curves within this context. Finally, we discuss the need for further research.