Geometry of the anisotropic minimal surfaces

Mladenov, Ivaïlo M.; Hadzhilazova, Mariana Ts.

doi:10.2478/v10309-012-0042-3

Abstract

A simple modification of the surface tension in the axisymmetric case leads to analogues of the Delaunay surfaces. Here we have derived an explicit parameterization of the most simple case of this new class of surfaces which can be considered as a generalization of the catenoids. The geometry of these surfaces depends on two real parameters and has been studied in some detail

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Geometry of the anisotropic minimal surfaces

Abstract

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