Isoperimetric regions in H^2 between parallel horocycles

Marcio Fabiano da Silva

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arXiv · 0906.4135

Isoperimetric regions in H^2 between parallel horocycles

Marcio Fabiano da Silva

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Abstract

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.

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BibTeX RIS

Marcio Fabiano da Silva. 2009-10-21. Isoperimetric regions in H^2 between parallel horocycles. https://arxiv.org/abs/0906.4135

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