6 papers
The earthquake metric on Teichm{ü}ller space
Yi Huang, Ken'ichi Ohshika, Huiping Pan +1
This is the first paper to systematically study the earthquake metric, an asymmetric Finsler metric on Teichm{ü}ller space introduced by Thurston. We provide proofs for several ass…
Large-scale geometry of the saddle connection graph
Valentina Disarlo, Huiping Pan, Anja Randecker +1
We prove that the saddle connection graph associated to any half-translation surface is 4-hyperbolic and uniformly quasi-isometric to the regular countably infinite-valent tree. Co…
Affine equivalence and saddle connection graphs of half-translation surfaces
Huiping Pan
To every half-translation surface, we associate a saddle connection graph, which is a subgraph of the arc graph. We prove that every isomorphism between two saddle connection graph…
Almost isometries between Teichmüller spaces
Manman Jiang, Lixin Liu, Huiping Pan
We prove that the Teichmüller space of surfaces with given boundary lengths equipped with the arc metric (resp. the Teichmüller metric) is almost isometric to the Teichmüller space…
The Hilbert metric on Teichmüller space and Earthquake
Huiping Pan
Hamenstädt gave a parametrization of the Teichmüller space of punctured surfaces such that the image under this parametrization is the interior of a polytope. In this paper, we stu…
On finite marked length spectral rigidity of hyperbolic cone surfaces and the Thurston metric
Huiping Pan
We study the geometry of hyperbolic cone surfaces, possibly with cusps or geodesic boundaries. We prove that any hyperbolic cone structure on a surface of non-exceptional type is d…