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arxiv: 0909.2549 · v2 · submitted 2009-09-14 · 🧮 math.DG

Constant mean curvature surfaces in Sol with non-empty boundary

classification 🧮 math.DG
keywords boundaryconstantcurvaturemeannon-emptyrestrictionssurfacesurfaces
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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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