{"id":"https://openalex.org/W3017206505","doi":"https://doi.org/10.1515/coma-2020-0009","title":"On K\u00e4hler-like and G-K\u00e4hler-like almost Hermitian manifolds","display_name":"On K\u00e4hler-like and G-K\u00e4hler-like almost Hermitian manifolds","publication_year":2020,"publication_date":"2020-04-03","ids":{"openalex":"https://openalex.org/W3017206505","doi":"https://doi.org/10.1515/coma-2020-0009","mag":"3017206505"},"language":"en","primary_location":{"id":"doi:10.1515/coma-2020-0009","doi":"https://doi.org/10.1515/coma-2020-0009","is_oa":true,"landing_page_url":"https://doi.org/10.1515/coma-2020-0009","pdf_url":"https://www.degruyter.com/document/doi/10.1515/coma-2020-0009/pdf","source":{"id":"https://openalex.org/S2739169767","display_name":"Complex Manifolds","issn_l":"2300-7443","issn":["2300-7443"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex Manifolds","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.1515/coma-2020-0009/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036385120","display_name":"Masaya Kawamura","orcid":"https://orcid.org/0000-0003-1303-4237","observed_orcids":["https://orcid.org/0000-0003-1303-4237"]},"institutions":[{"id":"https://openalex.org/I4210130794","display_name":"National Institute of Technology, Kochi College","ror":"https://ror.org/03bjsge15","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210120810","https://openalex.org/I4210130794"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masaya Kawamura","raw_affiliation_strings":["Department of Social Design Engineering, National Institute of Technology, Kochi College, 200-1, Otsu, Monobe, Nankoku, Kochi, Japan 783-8508"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Social Design Engineering, National Institute of Technology, Kochi College, 200-1, Otsu, Monobe, Nankoku, Kochi, Japan 783-8508","institution_ids":["https://openalex.org/I4210130794"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036385120"],"corresponding_institution_ids":["https://openalex.org/I4210130794"],"apc_list":{"value":750,"currency":"EUR","value_usd":848},"apc_paid":{"value":750,"currency":"EUR","value_usd":848},"fwci":1.6998,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8039745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"7","issue":"1","first_page":"145","last_page":"161"},"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":0.0,"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/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/almost-hermitian-manifolds","display_name":"almost Hermitian manifolds","score":1.0},{"id":"https://openalex.org/keywords/balanced-metrics","display_name":"balanced metrics","score":0.9039999842643738},{"id":"https://openalex.org/keywords/integrable-almost-complex-structures","display_name":"integrable almost complex structures","score":0.7310000061988831},{"id":"https://openalex.org/keywords/compact-manifolds","display_name":"compact manifolds","score":0.7670000195503235}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.8649787902832031},{"id":"https://openalex.org/C1432948","wikidata":"https://www.wikidata.org/wiki/Q5741935","display_name":"Hermitian manifold","level":4,"score":0.8584383726119995},{"id":"https://openalex.org/C157135747","wikidata":"https://www.wikidata.org/wiki/Q1353916","display_name":"K\u00e4hler manifold","level":2,"score":0.7924261093139648},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6351158618927002},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5828407406806946},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5798379778862},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5147786140441895},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.4840790331363678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4573513865470886},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38170313835144043},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32631945610046387},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3262729048728943},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08529660105705261},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07580593228340149},{"id":"https://openalex.org/C12089564","wikidata":"https://www.wikidata.org/wiki/Q1195879","display_name":"Ricci curvature","level":3,"score":0.0661536455154419},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/coma-2020-0009","doi":"https://doi.org/10.1515/coma-2020-0009","is_oa":true,"landing_page_url":"https://doi.org/10.1515/coma-2020-0009","pdf_url":"https://www.degruyter.com/document/doi/10.1515/coma-2020-0009/pdf","source":{"id":"https://openalex.org/S2739169767","display_name":"Complex Manifolds","issn_l":"2300-7443","issn":["2300-7443"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex Manifolds","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4a554441c5234cc48432cc7fd70ff4fd","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/4a554441c5234cc48432cc7fd70ff4fd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex Manifolds, Vol 7, Iss 1, Pp 145-161 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/coma-2020-0009","doi":"https://doi.org/10.1515/coma-2020-0009","is_oa":true,"landing_page_url":"https://doi.org/10.1515/coma-2020-0009","pdf_url":"https://www.degruyter.com/document/doi/10.1515/coma-2020-0009/pdf","source":{"id":"https://openalex.org/S2739169767","display_name":"Complex Manifolds","issn_l":"2300-7443","issn":["2300-7443"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex Manifolds","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3017206505.pdf","grobid_xml":"https://content.openalex.org/works/W3017206505.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W575071447","https://openalex.org/W1484207100","https://openalex.org/W1968030109","https://openalex.org/W2019068697","https://openalex.org/W2032582546","https://openalex.org/W2033644941","https://openalex.org/W2067278570","https://openalex.org/W2095261427","https://openalex.org/W2115967024","https://openalex.org/W2116598629","https://openalex.org/W2136429772","https://openalex.org/W2331812412","https://openalex.org/W2335103288","https://openalex.org/W2515095847","https://openalex.org/W2604584577","https://openalex.org/W2741225226","https://openalex.org/W2771135763","https://openalex.org/W2889791311","https://openalex.org/W2963144314","https://openalex.org/W2963787162","https://openalex.org/W2964012646","https://openalex.org/W2975968347","https://openalex.org/W6601153698","https://openalex.org/W6724834933","https://openalex.org/W6789308635","https://openalex.org/W6828381004"],"related_works":["https://openalex.org/W3207215256","https://openalex.org/W3087879090","https://openalex.org/W2975968347","https://openalex.org/W3161448435","https://openalex.org/W3128732626","https://openalex.org/W2083967842","https://openalex.org/W2514016128","https://openalex.org/W6983747726","https://openalex.org/W1678675985","https://openalex.org/W2047164863"],"abstract_inverted_index":{"Abstract":[0],"We":[1,10,29,70],"introduce":[2],"K\u00e4hler-like,":[3],"G-K\u00e4hler-like":[4,17,37,73],"metrics":[5],"on":[6],"almost":[7,18,24,38,54,58,74],"Hermitian":[8,19,39,75],"manifolds.":[9],"prove":[11],"that":[12,32,65],"a":[13,34,72],"compact":[14],"K\u00e4hler-like":[15,35],"and":[16,36,56],"manifold":[20,40,76],"equipped":[21],"with":[22],"an":[23],"balanced":[25,55],"metric":[26,52,67],"is":[27,53,61,68],"K\u00e4hler.":[28],"also":[30],"show":[31],"if":[33],"satisfies":[41],"B_{\\bar":[42],"i\\bar":[43],"j}^\\lambda":[44],"B_{\\lambda":[45],"j}^i":[46],"\\ge":[47],"0":[48],",":[49],"then":[50],"the":[51,57,66],"complex":[59],"structure":[60],"integrable,":[62],"which":[63],"means":[64],"balanced.":[69],"investigate":[71],"under":[77],"some":[78],"assumptions.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2020-04-24T00:00:00"}