{"id":"https://openalex.org/W7222997709","doi":"https://doi.org/10.48550/arxiv.2610.25864","title":"Mixed Chern curvature on complete flags","display_name":"Mixed Chern curvature on complete flags","publication_year":2026,"publication_date":"2026-10-19","ids":{"openalex":"https://openalex.org/W7222997709","doi":"https://doi.org/10.48550/arxiv.2610.25864"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.25864","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.25864","pdf_url":"https://arxiv.org/pdf/2610.25864","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/2610.25864","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112309744","display_name":"Yuqin Guo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo, Yuqin","raw_affiliation_strings":["School of Mathematical Sciences , Chongqing Normal University , Chongqing 401331 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Chongqing Normal University , Chongqing 401331 , China","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159153796","display_name":"Donmei Zhan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang, Dongmei","raw_affiliation_strings":["School of Mathematical Sciences , Chongqing Normal University , Chongqing 401331 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Chongqing Normal University , Chongqing 401331 , China","institution_ids":["https://openalex.org/I126924076"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I126924076"],"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/T13080","display_name":"Advanced Differential Geometry Research","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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/holomorphic-sectional-curvature","display_name":"holomorphic sectional curvature","score":0.9850000143051147},{"id":"https://openalex.org/keywords/trace-identities","display_name":"trace identities","score":0.753000020980835},{"id":"https://openalex.org/keywords/homogeneous-complex-manifolds","display_name":"homogeneous complex manifolds","score":0.6480000019073486}],"concepts":[{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.7279999852180481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7135999798774719},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6568999886512756},{"id":"https://openalex.org/C1432948","wikidata":"https://www.wikidata.org/wiki/Q5741935","display_name":"Hermitian manifold","level":4,"score":0.6470000147819519},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6169999837875366},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.5511999726295471},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5475999712944031},{"id":"https://openalex.org/C157135747","wikidata":"https://www.wikidata.org/wiki/Q1353916","display_name":"K\u00e4hler manifold","level":2,"score":0.503600001335144},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48590001463890076},{"id":"https://openalex.org/C42448751","wikidata":"https://www.wikidata.org/wiki/Q855622","display_name":"Sectional curvature","level":4,"score":0.48570001125335693},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.45329999923706055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4530999958515167},{"id":"https://openalex.org/C2776730729","wikidata":"https://www.wikidata.org/wiki/Q1392130","display_name":"Flag (linear algebra)","level":3,"score":0.4339999854564667},{"id":"https://openalex.org/C27602778","wikidata":"https://www.wikidata.org/wiki/Q578874","display_name":"Complex manifold","level":3,"score":0.4284999966621399},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4108000099658966},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.4027999937534332},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.3815999925136566},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.3736000061035156},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.34360000491142273},{"id":"https://openalex.org/C111219935","wikidata":"https://www.wikidata.org/wiki/Q3333764","display_name":"Fubini\u2013Study metric","level":5,"score":0.3231000006198883},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.25864","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.25864","pdf_url":"https://arxiv.org/pdf/2610.25864","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.2610.25864","doi":"https://doi.org/10.48550/arxiv.2610.25864","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.25864","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.25864","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.25864","pdf_url":"https://arxiv.org/pdf/2610.25864","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/W7222997709.pdf","grobid_xml":"https://content.openalex.org/works/W7222997709.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W2963144314","https://openalex.org/W3133712433","https://openalex.org/W3149188168","https://openalex.org/W3184174070","https://openalex.org/W4206119210","https://openalex.org/W4280624770","https://openalex.org/W4389261466","https://openalex.org/W4413349532","https://openalex.org/W4414004343","https://openalex.org/W4414977150","https://openalex.org/W7106837143","https://openalex.org/W7201854571","https://openalex.org/W7211929175","https://openalex.org/W7213309886","https://openalex.org/W7214081508","https://openalex.org/W7215085653"],"related_works":["https://openalex.org/W4308759820","https://openalex.org/W3184174070","https://openalex.org/W4384562092","https://openalex.org/W7000958186","https://openalex.org/W2239022587","https://openalex.org/W4406191737","https://openalex.org/W2105668903","https://openalex.org/W6967263481","https://openalex.org/W2759537656","https://openalex.org/W2089840270"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"the":[3,29,32,40],"complete":[4,58],"flag":[5],"manifold":[6],"SU(m)/T":[7],"m-1,":[8],"with":[9,23],"m":[10],">=":[11],"3":[12],"and":[13,56,78,82,86],"its":[14],"standard":[15],"complex":[16],"structure,":[17],"admits":[18],"no":[19],"invariant":[20,53,80],"Hermitian":[21,54],"metric":[22,48],"constant":[24],"mixed":[25],"Chern":[26],"curvature":[27,35,88],"when":[28],"coefficient":[30],"of":[31,61],"holomorphic":[33,67],"sectional":[34],"is":[36],"nonzero.":[37],"This":[38],"extends":[39],"preceding":[41],"nonexistence":[42],"result":[43],"for":[44],"a":[45,71],"particular":[46],"Wallach":[47],"on":[49,66],"SU(3)/T2":[50],"to":[51,57],"all":[52],"metrics":[55,81],"type-A":[59],"flags":[60],"arbitrary":[62],"dimension.":[63],"Curvature":[64],"evaluations":[65],"root":[68],"spheres":[69],"contradict":[70],"necessary":[72],"trace":[73],"identity,":[74],"covering":[75],"both":[76,84],"Kahler":[77],"non-Kahler":[79],"excluding":[83],"zero":[85],"nonzero":[87],"constants.":[89]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-21T00:00:00"}
