A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics

A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics
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DOI:
10.1007/s40315-018-0233-7
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发表时间:
2017-05
影响因子:
2.1
通讯作者:
M. Mohapatra;S. Sahoo
M. Mohapatra;S. Sahoo
中科院分区:
数学4区
文献类型:
--
作者:
M. Mohapatra;S. Sahoo

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我们主要考虑两种度量:Gromov双曲度量和尺度不变的Cassinian度量。我们比较这两个度量,并获得它们与某些著名的双曲型度量的关系,导致相关的度量球之间的几个包含关系。
We mainly consider two metrics: a Gromov hyperbolic metric and a scale-invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-known hyperbolic-type metrics, leading to several inclusion relations between the associated metric balls.