Geometry & Topology Seminar (2/2)
Linde Hall 387
Shortest Filling Geodesics on Hyperbolic Surfaces
Zhongzi Wang,
School of Mathematical Sciences,
Peking University,
We proved that for any filling set of closed geodesics πΎ1,β¦,πΎπ on on any closed orientable hyperbolic surface π, the total length πΏ =βππ=1βπΎπβ‘(π) is at least the half of the perimeter of the hyperbolic regular right-angled polygon with 8β’π β4 edges. This lower bound is attained if and only if the complement of βͺππ=1πΎπ in π is a hyperbolic regular right-angled polygon with 8β’π β4 edges. This is a joint work with Yue Gao and Jiajun Wang.
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Geometry and Topology Seminar Series
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