{"id":"https://openalex.org/W7204598216","doi":"https://doi.org/10.48550/arxiv.2608.27022","title":"On LCK Geometry of Gauduchon Connections","display_name":"On LCK Geometry of Gauduchon Connections","publication_year":2026,"publication_date":"2026-08-27","ids":{"openalex":"https://openalex.org/W7204598216","doi":"https://doi.org/10.48550/arxiv.2608.27022"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.27022","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27022","pdf_url":"https://arxiv.org/pdf/2608.27022","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/2608.27022","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066483663","display_name":"Giuseppe B\u00e1rbaro","orcid":"https://orcid.org/0000-0001-5483-3102","observed_orcids":["https://orcid.org/0000-0001-5483-3102"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Barbaro, Giuseppe","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5042151867","display_name":"Alexandra Otiman","orcid":"https://orcid.org/0000-0002-7559-2958","observed_orcids":["https://orcid.org/0000-0002-7559-2958"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Otiman, Alexandra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":1.0,"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":1.0,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":9.999999747378752e-05,"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":0.0,"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/vaisman-manifolds","display_name":"Vaisman manifolds","score":0.9750000238418579},{"id":"https://openalex.org/keywords/bismut-connection","display_name":"Bismut connection","score":0.996999979019165},{"id":"https://openalex.org/keywords/ricci-tensor","display_name":"Ricci tensor","score":0.8330000042915344},{"id":"https://openalex.org/keywords/hopf-manifolds","display_name":"Hopf manifolds","score":0.9750000238418579}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.675599992275238},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6359999775886536},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5978999733924866},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5227000117301941},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39590001106262207},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3522999882698059},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.26010000705718994},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.25920000672340393},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25699999928474426}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.27022","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27022","pdf_url":"https://arxiv.org/pdf/2608.27022","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.2608.27022","doi":"https://doi.org/10.48550/arxiv.2608.27022","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.27022","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:2608.27022","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27022","pdf_url":"https://arxiv.org/pdf/2608.27022","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204598216.pdf","grobid_xml":"https://content.openalex.org/works/W7204598216.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4416257707","https://openalex.org/W7129041990"],"related_works":["https://openalex.org/W7221532082","https://openalex.org/W7203535727","https://openalex.org/W4396574174","https://openalex.org/W7214125251","https://openalex.org/W2912712907","https://openalex.org/W4226449588","https://openalex.org/W2889791311","https://openalex.org/W4322625408","https://openalex.org/W3198954629","https://openalex.org/W2279863540"],"abstract_inverted_index":{"It":[0],"is":[1,11],"not":[2],"a":[3,67],"priori":[4],"clear":[5],"which":[6],"of":[7,24,69],"the":[8,22,45,49,53,62],"Gauduchon":[9],"connections":[10,26],"better":[12],"suited":[13],"to":[14],"LCK":[15],"and":[16,30,34,56,65],"Vaisman":[17,57],"manifolds.":[18,74],"We":[19,59],"thus":[20],"investigate":[21],"geometry":[23],"these":[25,70],"through":[27],"Einstein":[28],"problems":[29],"more":[31],"general":[32],"analytic":[33],"cohomological":[35],"conditions":[36],"on":[37,72],"their":[38],"Ricci":[39],"tensors.":[40],"Our":[41],"results":[42],"single":[43],"out":[44],"Bismut":[46],"connection":[47],"as":[48],"privileged":[50],"one":[51],"for":[52],"non-K\u00e4hler":[54],"lcK":[55],"geometry.":[58],"therefore":[60],"study":[61],"{second-Bismut--Einstein}":[63],"equation":[64],"provide":[66],"characterization":[68],"structures":[71],"Hopf":[73]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-29T00:00:00"}
