Piecewise minimal surfaces interpolating between two real analytic curves

2012/04/26 by Dey, Rukmini
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1204.5833

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 l₁,...l_L at specific locations and claim that there exists piecewise minimal surfaces interpolating between a to l₁,l₂ to l₃, ...l_L to b

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