The flow-geodesic curvature and the flow-evolute of spherical curves

Authors

MIRCEA CRASMAREANUFollow

Author ORCID Identifier

MIRCEA CRASMAREANU: 0000-0002-5230-2751

DOI

10.55730/1300-0098.3538

Abstract

We introduce and study a deformation of the geodesic curvature for a given spherical curve γ . Also, wedefine a new type of evolute and two Fermi-Walker type derivatives for γ . Some concrete examples are detailed with aspecial attention towards space curves with a constant torsion.

Keywords

flow-evolute, flow-geodesic curvature, Spherical curve

First Page

749

Last Page

756

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

CRASMAREANU, MIRCEA (2024) "The flow-geodesic curvature and the flow-evolute of spherical curves," Turkish Journal of Mathematics: Vol. 48: No. 4, Article 9. https://doi.org/10.55730/1300-0098.3538
Available at: https://journals.tubitak.gov.tr/math/vol48/iss4/9