ASYMPTOTIC TEICHMULLER SPACE OF A CLOSED SET OF THE RIEMANN SPHERE

作者：Qi, Yi^*; Wu, Yan

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(7): 2867-2876.

DOI：10.1090/proc/13144

• Teichmuller space
• Teichmuller space of a closed set
• asymptotic Teichmuller space of a closed set
• quasiconformal mapping

The asymptotic Teichmuller space AT(E) of a closed subset E of the Riemann sphere (C) over cap with at least 4 points and the natural asymptotic Teichmuller metric are introduced. It is proved that AT(E) is isometrically isomorphic to the product space of the asymptotic Teichmuller spac

• 出版日期2018-7
• 单位北京航空航天大学