{"id":"https://openalex.org/W7216531089","doi":"https://doi.org/10.48550/arxiv.2610.02073","title":"Quasi-contact metric structures from Sasaki-Einstein metrics","display_name":"Quasi-contact metric structures from Sasaki-Einstein metrics","publication_year":2026,"publication_date":"2026-10-01","ids":{"openalex":"https://openalex.org/W7216531089","doi":"https://doi.org/10.48550/arxiv.2610.02073"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.02073","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.02073","pdf_url":"https://arxiv.org/pdf/2610.02073","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.02073","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054244845","display_name":"Beniamino Cappelletti\u2013Montano","orcid":"https://orcid.org/0000-0003-1215-0033","observed_orcids":["https://orcid.org/0000-0003-1215-0033"]},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]},{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Cappelletti-Montano, Beniamino","raw_affiliation_strings":["Dipartimento di Matematica , Universit\u00e0 degli Studi di Salerno , Via Giovanni Paolo II 132 , 84084 Fisciano , Italy","Dipartimento di Matematica e Informatica , Universit\u00e0 degli Studi di Cagliari , Via Ospedale 72 , 09124 Cagliari , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica , Universit\u00e0 degli Studi di Salerno , Via Giovanni Paolo II 132 , 84084 Fisciano , Italy","institution_ids":["https://openalex.org/I131729948"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica , Universit\u00e0 degli Studi di Cagliari , Via Ospedale 72 , 09124 Cagliari , Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046988245","display_name":"Antonio De Nicola","orcid":"https://orcid.org/0000-0002-4307-9893","observed_orcids":["https://orcid.org/0000-0002-4307-9893"]},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"De Nicola, Antonio","raw_affiliation_strings":["Dipartimento di Matematica e Informatica , Universit\u00e0 degli Studi di Cagliari , Via Ospedale 72 , 09124 Cagliari , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica , Universit\u00e0 degli Studi di Cagliari , Via Ospedale 72 , 09124 Cagliari , Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.548799991607666,"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/T12351","display_name":"Geometry and complex manifolds","score":0.548799991607666,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.4359999895095825,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00279999990016222,"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/sasaki-einstein-metrics","display_name":"Sasaki-Einstein metrics","score":0.9789999723434448},{"id":"https://openalex.org/keywords/su-2-structure","display_name":"SU(2) structure","score":0.8669999837875366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7138000130653381},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7075999975204468},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5896999835968018},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5297999978065491},{"id":"https://openalex.org/C127104897","wikidata":"https://www.wikidata.org/wiki/Q5454858","display_name":"Fisher information metric","level":4,"score":0.5223000049591064},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.48339998722076416},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4634000062942505},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4487000107765198},{"id":"https://openalex.org/C177547787","wikidata":"https://www.wikidata.org/wiki/Q6034319","display_name":"Injective metric space","level":3,"score":0.4406000077724457},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.43470001220703125},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.421999990940094},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.41670000553131104},{"id":"https://openalex.org/C76453154","wikidata":"https://www.wikidata.org/wiki/Q788494","display_name":"Metric connection","level":5,"score":0.40619999170303345},{"id":"https://openalex.org/C41261874","wikidata":"https://www.wikidata.org/wiki/Q3855712","display_name":"Intrinsic metric","level":4,"score":0.39089998602867126},{"id":"https://openalex.org/C42519931","wikidata":"https://www.wikidata.org/wiki/Q1200279","display_name":"Killing vector field","level":2,"score":0.38999998569488525},{"id":"https://openalex.org/C191226916","wikidata":"https://www.wikidata.org/wiki/Q5384710","display_name":"Equivalence of metrics","level":4,"score":0.3831999897956848},{"id":"https://openalex.org/C111219935","wikidata":"https://www.wikidata.org/wiki/Q3333764","display_name":"Fubini\u2013Study metric","level":5,"score":0.36309999227523804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3540000021457672},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3240000009536743},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.30000001192092896},{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.29679998755455017},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.2786000072956085},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.2770000100135803},{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.02073","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.02073","pdf_url":"https://arxiv.org/pdf/2610.02073","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":"doi:10.48550/arxiv.2610.02073","doi":"https://doi.org/10.48550/arxiv.2610.02073","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.02073","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:2610.02073","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.02073","pdf_url":"https://arxiv.org/pdf/2610.02073","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/F4320315324","display_name":"Fondazione di Sardegna","ror":"https://ror.org/02sryfh37"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7216531089.pdf","grobid_xml":"https://content.openalex.org/works/W7216531089.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1997427123","https://openalex.org/W2042423607","https://openalex.org/W2126472905","https://openalex.org/W2139842002","https://openalex.org/W2326793324","https://openalex.org/W2403448683","https://openalex.org/W2743180531","https://openalex.org/W3108339545","https://openalex.org/W4402524701","https://openalex.org/W7125139160"],"related_works":["https://openalex.org/W2949298886","https://openalex.org/W7099306960","https://openalex.org/W4402524701","https://openalex.org/W1578577048","https://openalex.org/W3133950442","https://openalex.org/W4402672269","https://openalex.org/W4287628832","https://openalex.org/W2159332041","https://openalex.org/W4399274959","https://openalex.org/W2785211111"],"abstract_inverted_index":{"We":[0],"construct":[1,28],"the":[2,73],"first":[3],"examples":[4,34,49],"of":[5,32],"quasi-contact":[6,57],"metric":[7,13,58],"structures":[8,59],"that":[9],"are":[10],"not":[11],"contact":[12],"in":[14],"every":[15],"odd":[16],"dimension":[17,25],"greater":[18],"than":[19],"or":[20],"equal":[21],"to":[22,75],"$5$.":[23],"In":[24,52],"$5$,":[26],"we":[27,55],"a":[29,36,61,68],"one-parameter":[30],"family":[31],"such":[33],"with":[35,60],"Killing":[37,62],"characteristic":[38,63],"vector":[39,64],"field":[40,65],"by":[41],"deforming":[42],"Sasaki-Einstein":[43],"$\\mathrm{SU}(2)$-structures.":[44],"This":[45],"yields":[46],"compact,":[47],"homogeneous":[48],"on":[50],"$S^5$.":[51],"arbitrary":[53],"dimensions,":[54],"investigate":[56],"and":[66],"derive":[67],"Ricci":[69],"curvature":[70],"criterion":[71],"for":[72],"structure":[74],"be":[76],"K-contact.":[77]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-03T00:00:00"}
