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Bounded geometry with no bounded pants decomposition

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 نشر من قبل Ara Basmajian
 تاريخ النشر 2021
  مجال البحث
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We construct a quasiconformally homogeneous hyperbolic Riemann surface-other than the hyperbolic plane-that does not admit a bounded pants decomposition. Also, given a connected orientable topological surface of infinite type with compact boundary components, we construct a complete hyperbolic metric on the surface that has bounded geometry but does not admit a bounded pants decomposition.



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