Rigidity of flat surfaces under the boundary measure |
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Authors: | Klaus Dankwart |
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Affiliation: | 1. Endenicher Allee 22, 53115, Bonn, Germany
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Abstract: | Consider a closed marked flat surface S of genus g ≥ 2 and its universal cover ~S endowed with the pulled back metric. We show that the measure class induced by the Hausdorff measure of the Gromov boundary of ~S uniquely determines S up to rescaling. |
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