Parallels, evolutes and certain lifts of frontal curves in the Euclidean plane
We investigate singularities of parallel curves and evolutes of frontal curves in the Euclidean plane admitting certain singular points. Moreover, we study associated lifted surfaces to parallel curves to understand propagation of planar waves whose initial curve may have singularities.
Authors
- Keisuke Teramoto (ORCID: https://orcid.org/0000-0002-6990-4898)
Publication Details
- Journal
- Bulletin of the Belgian Mathematical Society - Simon Stevin
- Published
- 2025-08-29
- DOI
- https://doi.org/10.36045/j.bbms.240922
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00