Rigidity of flat surfaces under the boundary measure

Details Rigidity of flat surfaces under the boundary measure Rigidity of flat surfaces under the boundary measure

2012-03-12

arxiv.org/abs/1203.2448v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

Consider a closed marked flat surface $S$ of genus $g\geq 2$ and area 1 and
its universal covering $\tilde{S}$. We show that the measure class of the
Hausdorff measure of the Gromov boundary of $\tilde{S}$ uniquely determines
$S$.

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