Constant mean curvature surfaces in Sol with non-empty boundary
Differential Geometry
2009-09-19 v2
Abstract
In homogenous space Sol we study compact surfaces with constant mean curvature and with non-empty boundary. We ask how the geometry of the boundary curve imposes restrictions over all possible configurations that the surface can adopt. We obtain a flux formula and we establish results that assert that, under some restrictions, the symmetry of the boundary is inherited into the surface.
Cite
@article{arxiv.0909.2549,
title = {Constant mean curvature surfaces in Sol with non-empty boundary},
author = {Rafael López},
journal= {arXiv preprint arXiv:0909.2549},
year = {2009}
}
Comments
14 pages; corrected typos