<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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</p></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

Geometry of the anisotropic minimal surfaces

Institute of Biophysics, Bulgarian Academy of Sciences 1113 Sofia, Bulgaria

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Geometry of the anisotropic minimal surfaces"}

A simple modification of the surface tension in the axisymmetric case leads to analogues of the Delaunay surfaces. Here we have derived an explicit...

Geometry of the anisotropic minimal surfaces

Publié en ligne: 17 mai 2013

Pages: 79 - 88

DOI: https://doi.org/10.2478/v10309-012-0042-3

Mots clés
Delaunay surfaces, membranes, general shape equation

This content is open access.

Geometry of the anisotropic minimal surfaces

Publié en ligne: 17 mai 2013

Pages: 79 - 88

DOI: https://doi.org/10.2478/v10309-012-0042-3

Mots clésDelaunay surfaces, membranes, general shape equation

This content is open access.

Mots clés
Delaunay surfaces, membranes, general shape equation