Constant mean curvature surfaces in Sol with non-empty boundary

Details Constant mean curvature surfaces in Sol with non-empty boundary Constant mean curvature surfaces in Sol with non-empty boundary

2009-09-14

arxiv.org/abs/0909.2549v2

Mathematics

Differential Geometry

14 pages; corrected typos

Scientific paper

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.

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