期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 478, 期 2, 页码 445-457出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2019.05.036
关键词
Ptolemy space; Strongly hyperbolic space; Gromov hyperbolicity
资金
- National Natural Science Foundation of China [11301165, 11571099]
Recently, strongly hyperbolic space as certain analytic enhancements of Gromov hyperbolic space was introduced by B. Nica and J. Spakula. In this paper, we prove that the log-metric log(1 + d) on the Ptolemy space (X, d) is a strongly hyperbolic metric. Using our result, we construct two metrics on the Ptolemy space and prove they are strongly hyperbolic. (C) 2019 Elsevier Inc. All rights reserved.
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