根据[fv]=12-vzz2∈L,给出了魏寒柏"关于万有Teichmüller空间T1的分支"一文中定理2.1的简洁证明;构造了具体的解析函数fλ(z),使其当λ>0时:fλ∈L0,当λ<0时:fλ∈Lθ,从而简化了王哲"The Distance be-tween...根据[fv]=12-vzz2∈L,给出了魏寒柏"关于万有Teichmüller空间T1的分支"一文中定理2.1的简洁证明;构造了具体的解析函数fλ(z),使其当λ>0时:fλ∈L0,当λ<0时:fλ∈Lθ,从而简化了王哲"The Distance be-tween Different Component of the Universal Teichmüller Space"一文中定理2.2的证明.展开更多
Although the existence and uniqueness of Strebel differentials are proved by Jenkins and Strebel, the specific constructions of Strebel differentials are difficult. Two special kinds of special Strebel differentials a...Although the existence and uniqueness of Strebel differentials are proved by Jenkins and Strebel, the specific constructions of Strebel differentials are difficult. Two special kinds of special Strebel differentials are constructed in [5, 6]. The Strebel rays [3] and the eventually distance minimizing rays [9] are important in Teichm¨uller spaces and moduli spaces, respectively. Motivated by the study of [3, 9], two special kinds of Strebel rays in the real hyper-elliptic subspace of Teichm¨uller space and two special kinds of EDM rays in the real hyper-elliptic subspace of moduli space are studied in this article.展开更多
The purpose of this paper is to give a relatively elementary and direct proof of the Delta Inequality, which plays a very important role in the study of the extremal problem of quasiconformal mappings.
文摘根据[fv]=12-vzz2∈L,给出了魏寒柏"关于万有Teichmüller空间T1的分支"一文中定理2.1的简洁证明;构造了具体的解析函数fλ(z),使其当λ>0时:fλ∈L0,当λ<0时:fλ∈Lθ,从而简化了王哲"The Distance be-tween Different Component of the Universal Teichmüller Space"一文中定理2.2的证明.
文摘Although the existence and uniqueness of Strebel differentials are proved by Jenkins and Strebel, the specific constructions of Strebel differentials are difficult. Two special kinds of special Strebel differentials are constructed in [5, 6]. The Strebel rays [3] and the eventually distance minimizing rays [9] are important in Teichm¨uller spaces and moduli spaces, respectively. Motivated by the study of [3, 9], two special kinds of Strebel rays in the real hyper-elliptic subspace of Teichm¨uller space and two special kinds of EDM rays in the real hyper-elliptic subspace of moduli space are studied in this article.
基金supported by the National Natural Science Foundation of China(10971008 and 11371045)
文摘The purpose of this paper is to give a relatively elementary and direct proof of the Delta Inequality, which plays a very important role in the study of the extremal problem of quasiconformal mappings.
