DEVELOPABILITY OF RULED SURFACES GENERATED BY CURVES AT A CONSTANT DISTANCE FROM THE NON-NULL CURVE
This study aims to characterize curves at constant distance by using the tangent, normal, and binormal vectors of a unit speed non-null curve in Minkowski 3-space. The Frenet vectors and the curvature and torsion functions of these curves are calculated by using the curvature and torsion of the unit speed non-null curve. Then, the developability of ruled surfaces created with these curves and their tangents is investigated. Finally, the examples containing these curves and surfaces are given, and their graphs are drawn.
Authors
- Marco Carli (ORCID: https://orcid.org/0000-0002-7489-3767)
- Kemal Eren (ORCID: https://orcid.org/0000-0001-5273-7897)
- Soley Ersoy (ORCID: https://orcid.org/0000-0002-7183-7081)
Institutions
- Sakarya University (TR)
Publication Details
- Journal
- Journal of Science and Arts
- Published
- 2025-09-30
- DOI
- https://doi.org/10.46939/j.sci.arts-25.3-a06
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00