An approach for minimal surface family passing a curve
Differential Geometry
2015-08-12 v1
Abstract
We investigate minimal surfaces passing a given curve in . Using the Frenet frame of a given curve and isothermal parameter, we derive the necessary and sufficient condition for minimal surface. Also we derive the parametric representation of two minimal surface families passing a circle and a helix as examples.
Keywords
Cite
@article{arxiv.1408.3723,
title = {An approach for minimal surface family passing a curve},
author = {Sedat Kahyaoğlu and Emin Kasap},
journal= {arXiv preprint arXiv:1408.3723},
year = {2015}
}