A Note on Inextensible Flows of Curves on Oriented Surface
Differential Geometry
2020-01-30 v1
Abstract
In this paper, the general formulation for inextensible flows of curves on oriented surface in is investigated. The necessary and sufficient conditions for inextensible curve flow lying an oriented surface are expressed as a partial differential equation involving the geodesic curvature and the geodesic torsion. Moreover, some special cases of inextensible curves on oriented surface are given.
Keywords
Cite
@article{arxiv.1106.2012,
title = {A Note on Inextensible Flows of Curves on Oriented Surface},
author = {Onder Gokmen Yildiz and Soley Ersoy and Melek Masal},
journal= {arXiv preprint arXiv:1106.2012},
year = {2020}
}