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arXiv · 1408.3723

An approach for minimal surface family passing a curve

Sedat Kahyaoğlu·Emin Kasap
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Abstract

We investigate minimal surfaces passing a given curve in $R^{3}$. 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.

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Sedat Kahyaoğlu, Emin Kasap. 2014-08-16. An approach for minimal surface family passing a curve. https://doi.org/10.12988/ijcms.2015.5524

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