With respect to every Riemannian metric, the Teichmüller metric, and the Thurston metric on Teichmüller space, we show that there exist measured foliations on surfaces whose extremal length functions are not convex. The construction uses harmonic maps to \(\mathbb{R}\)-trees and minimal surfaces in \(\mathbb{R}^n\)
Dans ce travail nous nous intéressons à la géométrie de l’espace de Teichmüller via la longueur extr...
In this thesis we consider strata of flat metrics coming from quadratic differentials (semi-translat...
Let $\mathcal F$ be a holomorphic foliation on a compact K\"ahler surface with hyperbolic singulari...
Abstract. Extremal length is an important conformal invariant on Riemann surface which is closely re...
Abstract. We present the minimum norm or Dirichlet principle for measured foliations on a Riemann su...
We define and study natural metrics and weak metrics on the Teichmüller space of a surface of topolo...
We describe the space of measured foliations induced on a compact Riemann surface by meromorphic qua...
For two measured laminations $\nu^+$ and $\nu^-$ that fill up a hyperbolizable surface $S$ ...
104 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.We consider extremal problems...
The object of this paper is to extend the method of extremal length to Klein surfaces by solving con...
If the mean curvature function of a codimension-one foliation is close enough to 0, then there is a ...
On a particular type of minimal ruled surfaces, called pseudo-Hirzebruch surfaces, a family of extre...
AbstractIn this paper, we introduce two new kinds of structures on a non-compact surface: broken hyp...
We show that for every simple closed curve α, the extremal length and the hyperbolic length of α are...
AbstractVarious authors have shown that isotopy classes of nonpositively curved Riemannian metrics o...
Dans ce travail nous nous intéressons à la géométrie de l’espace de Teichmüller via la longueur extr...
In this thesis we consider strata of flat metrics coming from quadratic differentials (semi-translat...
Let $\mathcal F$ be a holomorphic foliation on a compact K\"ahler surface with hyperbolic singulari...
Abstract. Extremal length is an important conformal invariant on Riemann surface which is closely re...
Abstract. We present the minimum norm or Dirichlet principle for measured foliations on a Riemann su...
We define and study natural metrics and weak metrics on the Teichmüller space of a surface of topolo...
We describe the space of measured foliations induced on a compact Riemann surface by meromorphic qua...
For two measured laminations $\nu^+$ and $\nu^-$ that fill up a hyperbolizable surface $S$ ...
104 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.We consider extremal problems...
The object of this paper is to extend the method of extremal length to Klein surfaces by solving con...
If the mean curvature function of a codimension-one foliation is close enough to 0, then there is a ...
On a particular type of minimal ruled surfaces, called pseudo-Hirzebruch surfaces, a family of extre...
AbstractIn this paper, we introduce two new kinds of structures on a non-compact surface: broken hyp...
We show that for every simple closed curve α, the extremal length and the hyperbolic length of α are...
AbstractVarious authors have shown that isotopy classes of nonpositively curved Riemannian metrics o...
Dans ce travail nous nous intéressons à la géométrie de l’espace de Teichmüller via la longueur extr...
In this thesis we consider strata of flat metrics coming from quadratic differentials (semi-translat...
Let $\mathcal F$ be a holomorphic foliation on a compact K\"ahler surface with hyperbolic singulari...
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