{"id":"https://openalex.org/W3016888035","doi":"https://doi.org/10.1080/10586458.2021.1926010","title":"Hyperbolic 24-Cell 4-Manifolds With One Cusp","display_name":"Hyperbolic 24-Cell 4-Manifolds With One Cusp","publication_year":2021,"publication_date":"2021-06-22","ids":{"openalex":"https://openalex.org/W3016888035","doi":"https://doi.org/10.1080/10586458.2021.1926010","mag":"3016888035"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1926010","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926010","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.07284","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044734892","display_name":"John G. Ratcliffe","orcid":"https://orcid.org/0000-0002-6380-7026"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John G. Ratcliffe","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN, USA","Department of Mathematics, Vanderbilt University, Nashville, TN, USA#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-6380-7026","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN, USA","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN, USA#TAB#","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025342506","display_name":"Steven T. Tschantz","orcid":"https://orcid.org/0000-0002-6803-7673"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven T. Tschantz","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN, USA","Department of Mathematics, Vanderbilt University, Nashville, TN, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN, USA","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN, USA#TAB#","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044734892"],"corresponding_institution_ids":["https://openalex.org/I200719446"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04819512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"2","first_page":"269","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9997000098228455,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9997000098228455,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9793000221252441,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.9290235042572021},{"id":"https://openalex.org/keywords/hyperbolic-manifold","display_name":"Hyperbolic manifold","score":0.6401709318161011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6301485300064087},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.5847464203834534},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5528162717819214},{"id":"https://openalex.org/keywords/hyperbolic-3-manifold","display_name":"Hyperbolic 3-manifold","score":0.5390066504478455},{"id":"https://openalex.org/keywords/ricci-flat-manifold","display_name":"Ricci-flat manifold","score":0.4847550094127655},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.47012484073638916},{"id":"https://openalex.org/keywords/relatively-hyperbolic-group","display_name":"Relatively hyperbolic group","score":0.46009960770606995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40322166681289673},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21791866421699524},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.2177797555923462},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.06555771827697754},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.050058513879776},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.03894361853599548}],"concepts":[{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.9290235042572021},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.6401709318161011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6301485300064087},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.5847464203834534},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5528162717819214},{"id":"https://openalex.org/C129671197","wikidata":"https://www.wikidata.org/wiki/Q5957770","display_name":"Hyperbolic 3-manifold","level":5,"score":0.5390066504478455},{"id":"https://openalex.org/C203934109","wikidata":"https://www.wikidata.org/wiki/Q7322952","display_name":"Ricci-flat manifold","level":4,"score":0.4847550094127655},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.47012484073638916},{"id":"https://openalex.org/C40020168","wikidata":"https://www.wikidata.org/wiki/Q7310818","display_name":"Relatively hyperbolic group","level":4,"score":0.46009960770606995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40322166681289673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21791866421699524},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.2177797555923462},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.06555771827697754},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.050058513879776},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.03894361853599548},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10586458.2021.1926010","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926010","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.07284","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.07284","pdf_url":"https://arxiv.org/pdf/2004.07284","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"mag:3016888035","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.07284.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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.2004.07284","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.07284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.07284","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.07284","pdf_url":"https://arxiv.org/pdf/2004.07284","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3016888035.pdf","grobid_xml":"https://content.openalex.org/works/W3016888035.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1557262802","https://openalex.org/W1602669753","https://openalex.org/W1929913963","https://openalex.org/W1971552759","https://openalex.org/W2032388815","https://openalex.org/W2037181487","https://openalex.org/W2069626482","https://openalex.org/W2100978647","https://openalex.org/W2105776550","https://openalex.org/W2124423403","https://openalex.org/W2134626960","https://openalex.org/W2171406797","https://openalex.org/W3099473784","https://openalex.org/W4288935732"],"related_works":["https://openalex.org/W3204083803","https://openalex.org/W2037181487","https://openalex.org/W2951427289","https://openalex.org/W595321311","https://openalex.org/W2496339678","https://openalex.org/W2124423403","https://openalex.org/W2214938752","https://openalex.org/W3024071344","https://openalex.org/W2103057821","https://openalex.org/W2100978647","https://openalex.org/W2017446895","https://openalex.org/W3105073069","https://openalex.org/W303677643","https://openalex.org/W3168026259","https://openalex.org/W3208489764","https://openalex.org/W2810308040","https://openalex.org/W2067549982","https://openalex.org/W3104829754","https://openalex.org/W2963084221","https://openalex.org/W2963315466"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"describe":[4],"all":[5],"the":[6,26],"hyperbolic":[7,31],"24-cell":[8],"4-manifolds":[9,32],"with":[10],"exactly":[11],"one":[12],"cusp.":[13],"There":[14],"are":[15,25],"four":[16],"of":[17,29,33],"these":[18],"manifolds":[19,24],"up":[20],"to":[21],"isometry.":[22],"These":[23],"first":[27],"examples":[28],"one-cusped":[30],"minimum":[34],"volume.":[35]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}