{"id":"https://openalex.org/W2617543447","doi":"https://doi.org/10.1007/s40315-018-0233-7","title":"A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics","display_name":"A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics","publication_year":2018,"publication_date":"2018-02-06","ids":{"openalex":"https://openalex.org/W2617543447","doi":"https://doi.org/10.1007/s40315-018-0233-7","mag":"2617543447"},"language":"en","primary_location":{"id":"doi:10.1007/s40315-018-0233-7","doi":"https://doi.org/10.1007/s40315-018-0233-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40315-018-0233-7","pdf_url":null,"source":{"id":"https://openalex.org/S2483979929","display_name":"Computational Methods and Function Theory","issn_l":"1617-9447","issn":["1617-9447","2195-3724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods and Function Theory","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1705.08574","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038093641","display_name":"Manas Ranjan Mohapatra","orcid":"https://orcid.org/0000-0002-6668-2644","observed_orcids":["https://orcid.org/0000-0002-6668-2644"]},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manas Ranjan Mohapatra","raw_affiliation_strings":["Discipline of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa Road, Indore, 453 552, India","Indian Institute of Technology Indore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Discipline of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa Road, Indore, 453 552, India","institution_ids":["https://openalex.org/I64295750"]},{"raw_affiliation_string":"Indian Institute of Technology Indore","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086832336","display_name":"Swadesh Kumar Sahoo","orcid":"https://orcid.org/0000-0001-7404-3060","observed_orcids":["https://orcid.org/0000-0001-7404-3060"]},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Swadesh Kumar Sahoo","raw_affiliation_strings":["Discipline of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa Road, Indore, 453 552, India","Indian Institute of Technology Indore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Discipline of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa Road, Indore, 453 552, India","institution_ids":["https://openalex.org/I64295750"]},{"raw_affiliation_string":"Indian Institute of Technology Indore","institution_ids":["https://openalex.org/I64295750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086832336"],"corresponding_institution_ids":["https://openalex.org/I64295750"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":2.3698,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87300403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"18","issue":"3","first_page":"473","last_page":"493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9018999934196472,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9018999934196472,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.02239999920129776,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.01730000041425228,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metric-balls","display_name":"metric balls","score":0.9200000166893005},{"id":"https://openalex.org/keywords/inclusion-relations","display_name":"inclusion relations","score":0.8970000147819519}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.770358681678772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6712452173233032},{"id":"https://openalex.org/C97654310","wikidata":"https://www.wikidata.org/wiki/Q574023","display_name":"Hyperbolic tree","level":4,"score":0.574744701385498},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5437234044075012},{"id":"https://openalex.org/C191226916","wikidata":"https://www.wikidata.org/wiki/Q5384710","display_name":"Equivalence of metrics","level":4,"score":0.5161998867988586},{"id":"https://openalex.org/C167150821","wikidata":"https://www.wikidata.org/wiki/Q81194","display_name":"Hyperbolic group","level":4,"score":0.5002355575561523},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4731798470020294},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.34988147020339966},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.31415021419525146},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.2797529697418213},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.2694515585899353},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26447761058807373},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.22488704323768616},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.0561051070690155},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05470415949821472},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.03609800338745117},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s40315-018-0233-7","doi":"https://doi.org/10.1007/s40315-018-0233-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40315-018-0233-7","pdf_url":null,"source":{"id":"https://openalex.org/S2483979929","display_name":"Computational Methods and Function Theory","issn_l":"1617-9447","issn":["1617-9447","2195-3724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods and Function Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1705.08574","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.08574","pdf_url":"https://arxiv.org/pdf/1705.08574","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2617543447","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.08574.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1705.08574","doi":"https://doi.org/10.48550/arxiv.1705.08574","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1705.08574","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1705.08574","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.08574","pdf_url":"https://arxiv.org/pdf/1705.08574","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323196","display_name":"National Board for Higher Mathematics","ror":"https://ror.org/02m388s04"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2617543447.pdf","grobid_xml":"https://content.openalex.org/works/W2617543447.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W139827475","https://openalex.org/W221704351","https://openalex.org/W324618205","https://openalex.org/W1491751692","https://openalex.org/W1832577878","https://openalex.org/W1868803517","https://openalex.org/W1970642807","https://openalex.org/W1981895701","https://openalex.org/W1988113160","https://openalex.org/W2044852057","https://openalex.org/W2045336066","https://openalex.org/W2067649300","https://openalex.org/W2084916367","https://openalex.org/W2088486639","https://openalex.org/W2143670734","https://openalex.org/W2148509340","https://openalex.org/W2158592625","https://openalex.org/W2231567693","https://openalex.org/W2514990272","https://openalex.org/W2552469948","https://openalex.org/W2605382922","https://openalex.org/W4210575876","https://openalex.org/W4240041676","https://openalex.org/W4247479642","https://openalex.org/W4293217885","https://openalex.org/W6607471531"],"related_works":["https://openalex.org/W2805637499","https://openalex.org/W2726432111","https://openalex.org/W2001334772","https://openalex.org/W7135056154","https://openalex.org/W3033325082","https://openalex.org/W3087856871","https://openalex.org/W4388906854","https://openalex.org/W2964271978","https://openalex.org/W2044311467","https://openalex.org/W4393733726"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-06-05T00:00:00"}