Construction of tubular surface by infinitesimal bending of a curve
Abstract
This paper investigates the tubular surface generated by the first-order infinitesimal bending of a regular curve in Euclidean space R3. We also study the focal surfaces derived from the tubular surface. First, the invariants of the mean and Gaussian curvatures are computed. Additionally, conditions are examined for parametric curves to be geodesic or asymptotic lines on these surfaces. Finally, several examples are provided with visual representations.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Mathematics and Applications
Publication details
- Journal / source
- Journal of Interdisciplinary Mathematics
- Volume
- 29
- Issue
- 1
- Pages
- 209–224
- Publication date
- 1 January 2026