Teichmüller理论与动力系统
基本信息
结项摘要
Teichmüller理论是复分析的重要研究领域，一直以来受到国际、国内数学家的关注，其中与动力系统相关的研究是近年来非常活跃的一个研究分支。本项目着眼于研究Riemann曲面上二次微分对应的foliation的动力系统：1.研究当Veech群里含有双曲元素时，二次微分对应的foliation在某些特定方向上的性质；2.研究当Veech群里含有横截的抛物元素时，foliation沿着周期方向域的方向上的性质。以上对单个曲面上二次微分对应的foliation的研究与整体二次微分空间在群SL(2,R)作用下的动力系统密切相关，深入开展研究对理解Teichmüller空间上的动力系统有着重要作用。
项目摘要
项目成果
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暂无此项成果
数据更新时间：2023-05-31
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沈良的其他基金
相似国自然基金
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