钱伟茂;张益池;

• 1:湖州广播电视大学远程教育学院
• 2:湖州职业技术学院机电工程学院

摘要(Abstract)：

将平面Jordan域上关于双曲测地线直径的Gehring-Hayman不等式推广到n维空间凸域上的拟双曲测地线.利用Mbius变换和拟双曲度量证明了n维空间凸域上连接任意二点x和y的拟双曲测地线的直径等于x与y之间的Euclidean距离.所得结果推广和改进了相关已有结果.

关键词(KeyWords)： 凸域;拟双曲长度:拟双曲距离;拟双曲测地线;Gehring-Hayman不等式

Abstract:

Keywords:

基金项目(Foundation): 浙江省自然科学基金(LY13A010004);; 国家开放大学基金(Q1601E-Y);; 浙江省教育厅基金(Y201223519)

作者(Authors): 钱伟茂;张益池;

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