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arXiv · 1204.5833

Piecewise minimal surfaces interpolating between two real analytic curves

Rukmini Dey
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Abstract

This paper is about interpolating minimal surfaces between two real analytic curves, a and b, each of which are simple real analytic curves, using the Björling-Schwarz formula in the domain where it is valid, changing the normal distributions on inital curves. We insert curves $l_1,...l_L$ at specific locations and claim that there exists piecewise minimal surfaces interpolating between $a$ to $l_1$,$l_2$ to $l_3$, ...$l_L$ to $b

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Rukmini Dey. 2013-02-17. Piecewise minimal surfaces interpolating between two real analytic curves. https://arxiv.org/abs/1204.5833

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