Year: 2024
Type: article
Abstract: 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.
Source: Journal of New Theory
DOI: 10.53570/jnt.1545097
Authors: Yusuf Yaylı, İsmet Gölgeleyen
Institutions: Ankara University, Zonguldak Bülent Ecevit University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405964254