Isoperimetric regions in H^2 between parallel horocycles

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da Silva, Marcio Fabiano
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Abstract
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In this work we investigate the following isoperimetric problem in the hyperbolic plane: to find the regions of prescribed area with minimal perimeter between two parallel horocycles. We give an explicit and detailed description of all such regions.
Comment: corrected reference
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Mathematics - Differential Geometry, 53A10
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