{"id":"https://openalex.org/W4206594814","doi":"https://doi.org/10.3390/sym14010043","title":"Twistor Bundle of a Neutral K\u00e4hler Surface","display_name":"Twistor Bundle of a Neutral K\u00e4hler Surface","publication_year":2021,"publication_date":"2021-12-30","ids":{"openalex":"https://openalex.org/W4206594814","doi":"https://doi.org/10.3390/sym14010043"},"language":"en","primary_location":{"id":"doi:10.3390/sym14010043","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14010043","pdf_url":"https://www.mdpi.com/2073-8994/14/1/43/pdf?version=1640839128","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/1/43/pdf?version=1640839128","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047052142","display_name":"W\u0142odzimierz Jelonek","orcid":"https://orcid.org/0000-0003-3911-2117"},"institutions":[{"id":"https://openalex.org/I24881138","display_name":"Cracow University of Technology","ror":"https://ror.org/00pdej676","country_code":"PL","type":"education","lineage":["https://openalex.org/I24881138"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"W\u0142odzimierz Jelonek","raw_affiliation_strings":["Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Krakow, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Krakow, Poland","institution_ids":["https://openalex.org/I24881138","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047052142"],"corresponding_institution_ids":["https://openalex.org/I24881138","https://openalex.org/I4210137370"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3284,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56509529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"1","first_page":"43","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9998000264167786,"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":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/twistor-theory","display_name":"Twistor theory","score":0.8251583576202393},{"id":"https://openalex.org/keywords/k\u00e4hler-manifold","display_name":"K\u00e4hler manifold","score":0.7518624067306519},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.6863548159599304},{"id":"https://openalex.org/keywords/twistor-space","display_name":"Twistor space","score":0.5967540144920349},{"id":"https://openalex.org/keywords/vector-bundle","display_name":"Vector bundle","score":0.5124366879463196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5050612092018127},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4418315291404724},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3879534602165222},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3501858711242676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3244500756263733},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.15750816464424133},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.039257943630218506}],"concepts":[{"id":"https://openalex.org/C25793852","wikidata":"https://www.wikidata.org/wiki/Q279082","display_name":"Twistor theory","level":2,"score":0.8251583576202393},{"id":"https://openalex.org/C157135747","wikidata":"https://www.wikidata.org/wiki/Q1353916","display_name":"K\u00e4hler manifold","level":2,"score":0.7518624067306519},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.6863548159599304},{"id":"https://openalex.org/C15349852","wikidata":"https://www.wikidata.org/wiki/Q7858591","display_name":"Twistor space","level":3,"score":0.5967540144920349},{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.5124366879463196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5050612092018127},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4418315291404724},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3879534602165222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3501858711242676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3244500756263733},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.15750816464424133},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.039257943630218506},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14010043","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14010043","pdf_url":"https://www.mdpi.com/2073-8994/14/1/43/pdf?version=1640839128","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5835c3bdb5c0457ba5c2c1d9fa54147a","is_oa":true,"landing_page_url":"https://doaj.org/article/5835c3bdb5c0457ba5c2c1d9fa54147a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 1, p 43 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/1/43/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14010043","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14010043","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14010043","pdf_url":"https://www.mdpi.com/2073-8994/14/1/43/pdf?version=1640839128","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4206594814.pdf","grobid_xml":"https://content.openalex.org/works/W4206594814.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W38389379","https://openalex.org/W1654478700","https://openalex.org/W2016479841","https://openalex.org/W2023768015","https://openalex.org/W2028867620","https://openalex.org/W2032317001","https://openalex.org/W2072608160","https://openalex.org/W2086948720","https://openalex.org/W3127488578"],"related_works":["https://openalex.org/W2157975697","https://openalex.org/W3081392199","https://openalex.org/W2036592624","https://openalex.org/W2980872748","https://openalex.org/W4285782217","https://openalex.org/W2962966573","https://openalex.org/W1970845812","https://openalex.org/W2124644640","https://openalex.org/W2768390919","https://openalex.org/W2111270262"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"characterize":[4],"neutral":[5,21],"K\u00e4hler":[6],"surfaces":[7],"in":[8],"terms":[9],"of":[10],"their":[11],"positive":[12],"twistor":[13,44],"bundle.":[14],"We":[15],"prove":[16],"that":[17,33],"an":[18],"O+,+(2,2)-oriented":[19],"four-dimensional":[20],"semi-Riemannian":[22],"manifold":[23,38],"(M,g)":[24],"admits":[25,47],"a":[26,36,48],"complex":[27],"structure":[28],"J":[29],"with":[30],"\u03a9J\u2208\u22c0\u2212M,":[31],"such":[32],"(M,g,J)":[34],"is":[35],"neutral-K\u00e4hler":[37],"if":[39,42],"and":[40],"only":[41],"the":[43],"bundle":[45],"(Z1(M),gc)":[46],"vertical":[49],"Killing":[50],"vector":[51],"field.":[52]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-01-25T00:00:00"}