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    • 张伯尧,范金华.单连通区域上的渐近 Schwarzian 距离[J].数学年刊A辑,2025,46(3):299~306
    单连通区域上的渐近 Schwarzian 距离
    The Asymptotic Schwarzian Distances Between the Simply Connected Domains
    Received:July 10, 2024  Revised:September 18, 2025
    DOI：
    中文关键词:  渐近共形  渐近 Schwarzian 范数  伪度量
    英文关键词:Asymptotic conformal, Asymptotic Schwarzain norm, Pseudometric
    基金项目:
    Author NameAffiliation
    ZHANG Boyao、 Department of Mathematics and Statistics, School of Science, Nanjing University of Science and Technology, Nanjing 210094, China 
    FAN Jinhua Department of Mathematics and Statistics, School of Science, Nanjing University of Science and Technology, Nanjing 210094, China 
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    中文摘要:
          本文借助渐近 Schwarzian 范数，在双曲型单连通区域集的商空间上定义了一个伪度量，并证明了该伪度量并非度量。
    英文摘要:
          By asymptotic Schwarzian norm, the authors define a pseudometric on the quotient of the set of simply connected hyperbolic domains. As a result, the authors prove this pseudometric is not a metric.
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