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An approach for minimal surface family passing a curve
Published 16 Aug 2014 in math.DG | (1408.3723v1)
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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