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Open Access Research Article

Construction of tubular surface by infinitesimal bending of a curve

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pp. 209–224Vol. 29Issue 1January 2026DOI: 10.47974/JIM-2441XML
Received:
21 May 2025
Published Online:
14 Jan 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2441
Pages:
209–224

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. 

Keywords

Subject Classifications

53A0453A05

References

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