{"title":"准双曲度量和格罗莫夫双曲空间","authors":"Hongjun Liu, Ling Xia, Shasha Yan","doi":"arxiv-2409.12006","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the concepts of short arc and length map in\nquasihyperbolic metric spaces, and obtain some geometric characterizations of\nGromov hyperbolicity for quasihyperbolic metric spaces in terms of the\nproperties of short arc and length map.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":"188 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasihyperbolic metric and Gromov hyperbolicity spaces\",\"authors\":\"Hongjun Liu, Ling Xia, Shasha Yan\",\"doi\":\"arxiv-2409.12006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the concepts of short arc and length map in\\nquasihyperbolic metric spaces, and obtain some geometric characterizations of\\nGromov hyperbolicity for quasihyperbolic metric spaces in terms of the\\nproperties of short arc and length map.\",\"PeriodicalId\":501444,\"journal\":{\"name\":\"arXiv - MATH - Metric Geometry\",\"volume\":\"188 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Metric Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.12006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.12006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quasihyperbolic metric and Gromov hyperbolicity spaces
In this paper, we introduce the concepts of short arc and length map in
quasihyperbolic metric spaces, and obtain some geometric characterizations of
Gromov hyperbolicity for quasihyperbolic metric spaces in terms of the
properties of short arc and length map.
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