4 citations · 8 across the 12 of their papers we have counts for
11 papers · 1 filter
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…
Envelopes of the Thurston metric on Teichmüller space
Huiping Pan, Michael Wolf
For the Thurston (asymmetric) metric on Teichmüller space, the defect from being uniquely geodesic is described by the envelope, defined as the union of geodesics from the initial…
The geometry of the Thurston metric: a survey
Huiping Pan, Weixu Su
This paper is a survey about the Thurston metric on the Teichmüller space. The central issue is the constructions of extremal Lipschitz maps between hyperbolic surfaces. We review…
Ray structures on Teichmüller Space
Huiping Pan, Michael Wolf
While there may be many Thurston metric geodesics between a pair of points in Teichmüller space, we find that by imposing an additional energy minimization constraint on the geodes…
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…
Local Rigidity of Teichmüller space with Thurston metric
Huiping Pan
We show that every -linear surjective isometry between the cotangent spaces to the Teichmüller space equipped with the Thurston norm is induced by some isometry between…
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…
Existence of closed geodesics through a regular point on translation surfaces
Duc-Manh Nguyen, Huiping Pan, Weixu Su
We show that on any translation surface, if a regular point is contained in a simple closed geodesic, then it is contained in infinitely many simple closed geodesics, whose directi…
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…