Piecewise minimal surfaces interpolating between two real analytic curves

Details Piecewise minimal surfaces interpolating between two real analytic curves Piecewise minimal surfaces interpolating between two real analytic curves

2012-04-26

arxiv.org/abs/1204.5833v1

Mathematics

Differential Geometry

Scientific paper

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 Bj\"{o}rling-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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