Constant mean curvature surfaces in Sol with non-empty boundary

Rafael López

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arXiv · 0909.2549

Constant mean curvature surfaces in Sol with non-empty boundary

Rafael López

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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.

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Rafael López. 2009-09-19. Constant mean curvature surfaces in Sol with non-empty boundary. https://arxiv.org/abs/0909.2549

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