Invariant surfaces in Sol$_3$ with constant mean curvature and their computer graphics

Rafael López

Invariant surfaces in Sol$_3$ with constant mean curvature and their computer graphics

Differential Geometry 2011-12-13 v1

Authors: Rafael López

Abstract

In Sol $_3$ space there are three uniparametric groups of isometries. In this work we study constant mean curvature surfaces invariant by one of these groups. We analyze the geometric properties of these surfaces by means of their computer graphics. We construct explicit examples of minimal surfaces and we shall relate them with recent examples of spheres with constant mean curvature.

Keywords

Sol₃ space constant mean curvature invariant surfaces isometry groups minimal surfaces computer graphics

Cite

@article{arxiv.1112.2480,
  title  = {Invariant surfaces in Sol$_3$ with constant mean curvature and their computer graphics},
  author = {Rafael López},
  journal= {arXiv preprint arXiv:1112.2480},
  year   = {2011}
}

Comments

22 pages, 8 figures

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