Constant mean curvature surfaces in Sol with non-empty boundary - Mathematics > Differential GeometryReport as inadecuate




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Abstract: In homogenous space Sol we study compact surfaces with constant meancurvature and with non-empty boundary. We ask how the geometry of the boundarycurve imposes restrictions over all possible configurations that the surfacecan adopt. We obtain a flux formula and we establish results that assert that,under some restrictions, the symmetry of the boundary is inherited into thesurface.



Author: Rafael López

Source: https://arxiv.org/



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