CompletePeriodicity < WildSurfaces

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WildSurfaces.CompletePeriodicityr1.3 - 15 Feb 2006 - 17:48 - ThierryMonteiltopic end

Complete periodicity

Definition

A surface is said to be completely periodic if for each direction that contains a periodic trajectory, the surface can be fully decomposed into parallel cylinders in that direction.

Results

Veech surfaces are completely periodic.
in $\mathcal{H}(2)$ , Veech surfaces and completely periodic surfaces coincide.
FiniteBlockingProperty implies the CompletePeriodicity

References

Calta : http://arxiv.org/abs/math.DS/0205163

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WildSurfaces.CompletePeriodicity moved from WildSurfaces.CompletelyPeriodicProperty on 07 Feb 2006 - 10:04 by ThierryMonteil - put it back

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