WebbWe show that the Teichmuller space of a surface without boundary and with punctures, equipped with the Thurston metric, is the limit in an appropriate sense of Teichmuller … Webb8 sep. 2024 · We give an introduction of the Thurston's asymmetric metric on Teichmuller space and discuss some generalization of this metric to Hitchin components, as an ...

William Paul Thurston American mathematician Britannica

WebbWe highlight several analogies between the Finsler (infinitesimal) properties of Teichm\"uller's metric and Thurston's asymmetric metric on Teichm\"uller space. … WebbThurston metric and the hyperbolic metric, which also reflect the relations between the complex projective structure and complex structure. For results in this direction, see [4, 9, 15, 21], etc. In Theorem 3.1 in Section 3, we show a rigidity result for the Thurston and gifting limits 2022 to children

Yi Huang-清华丘成桐数学科学中心

WebbThis is the metric most commonly used for the study of the metric geometry of Teichmüller space. In particular it is of interest to geometric group theorists. There is a function similarly defined, using the Lipschitz constants of maps between hyperbolic surfaces instead of the quasiconformal dilatations, on T ( S ) × T ( S ) {\displaystyle T(S)\times … WebbTHE THURSTON METRIC ON HYPERBOLIC DOMAINS AND BOUNDARIES OF CONVEX HULLS MARTIN BRIDGEMAN AND RICHARD D. CANARY Abstract. We show that the nearest point retraction is a uniform quasi-isometry from the Thurston metric on a hyperbolic domain ˆ C^ to the boundary Dome WebbCoarse and fine geometry of the Thurston metric 3 stretch(X,λ, ): R → T(S), with stretch(X,λ,0)= X and which satisfies d Th(stretch(X,λ,s),stretch(X,λ,t))= t −s (2) for all s,t ∈ R with s gifting limits 2023