An approach for minimal surface family passing a curve

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2015Embargo end date: 01 Jan 2014Publisher:Hikari, Ltd.Journal:International Journal of Contemporary Mathematical Sciences, volume 10, pages 223-232 (eissn: 1314-7544,

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Authors: Kahyaoğlu, Sedat; Kasap, Emin;

doi: 10.12988/ijcms.2015.5524 , 10.48550/arxiv.1408.3723

arXiv: 1408.3723

An approach for minimal surface family passing a curve

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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.

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics

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