{"id":"https://openalex.org/W4396768992","doi":"https://doi.org/10.3390/axioms13050312","title":"Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold","display_name":"Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold","publication_year":2024,"publication_date":"2024-05-09","ids":{"openalex":"https://openalex.org/W4396768992","doi":"https://doi.org/10.3390/axioms13050312"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13050312","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050312","pdf_url":"https://www.mdpi.com/2075-1680/13/5/312/pdf?version=1715255553","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/5/312/pdf?version=1715255553","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102662250","display_name":"Shi-Fan Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi-Fan Cai","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei 230601, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039657075","display_name":"Sudhakar Kumar Chaubey","orcid":"https://orcid.org/0000-0002-3882-4596"},"institutions":[{"id":"https://openalex.org/I4403386702","display_name":"University of Technology and Applied Sciences-Suhar","ror":"https://ror.org/018g8cj68","country_code":"OM","type":"education","lineage":["https://openalex.org/I4403386702","https://openalex.org/I4405258755"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"Sudhakar Kumar Chaubey","raw_affiliation_strings":["Department of Mathematics, University of Technology and Applied Sciences-Shinas, Shinas 324, Oman"],"raw_orcid":"https://orcid.org/0000-0002-3882-4596","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Technology and Applied Sciences-Shinas, Shinas 324, Oman","institution_ids":["https://openalex.org/I4403386702"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101403512","display_name":"Xin Xu","orcid":"https://orcid.org/0000-0003-0795-941X"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Xu","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei 230601, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100406352","display_name":"Pan Zhang","orcid":"https://orcid.org/0000-0002-9462-9840"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pan Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei 230601, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100680511","display_name":"Zhiheng Zhang","orcid":"https://orcid.org/0009-0002-0821-6140"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Heng Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei 230601, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100406352"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12044899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"5","first_page":"312","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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/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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/quiver","display_name":"Quiver","score":0.8771315813064575},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6219338178634644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5999690890312195},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5599652528762817},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5228412747383118},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1888427734375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10602980852127075},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09182026982307434}],"concepts":[{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.8771315813064575},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6219338178634644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5999690890312195},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5599652528762817},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5228412747383118},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1888427734375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10602980852127075},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09182026982307434},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13050312","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050312","pdf_url":"https://www.mdpi.com/2075-1680/13/5/312/pdf?version=1715255553","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:72652ba433e44d4b81e695230922d12b","is_oa":true,"landing_page_url":"https://doaj.org/article/72652ba433e44d4b81e695230922d12b","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,"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":"Axioms, Vol 13, Iss 5, p 312 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13050312","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13050312","pdf_url":"https://www.mdpi.com/2075-1680/13/5/312/pdf?version=1715255553","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2213566372","display_name":null,"funder_award_id":"62276146","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G2289182013","display_name":null,"funder_award_id":"12201001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4082554150","display_name":null,"funder_award_id":"2108085QA17","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4723853981","display_name":null,"funder_award_id":"12201001","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G4920096113","display_name":null,"funder_award_id":"2108085QA17","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G6532456369","display_name":null,"funder_award_id":"X20240033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6831172867","display_name":null,"funder_award_id":"KJ2020A0009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G820951172","display_name":null,"funder_award_id":"KJ2020A0009","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G8679024313","display_name":null,"funder_award_id":"X20240033","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G8845237145","display_name":null,"funder_award_id":"62276146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396768992.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W640467901","https://openalex.org/W1571072992","https://openalex.org/W1607926288","https://openalex.org/W1609863726","https://openalex.org/W1991992363","https://openalex.org/W2002191654","https://openalex.org/W2012155211","https://openalex.org/W2021157230","https://openalex.org/W2024399144","https://openalex.org/W2034958095","https://openalex.org/W2048037231","https://openalex.org/W2049785917","https://openalex.org/W2075324263","https://openalex.org/W2116163539","https://openalex.org/W2116285680","https://openalex.org/W2152903676","https://openalex.org/W2480404596","https://openalex.org/W2567687874","https://openalex.org/W2946817022","https://openalex.org/W2947926422","https://openalex.org/W2950429000","https://openalex.org/W2962977209","https://openalex.org/W2975120904","https://openalex.org/W3100691293","https://openalex.org/W3105167869","https://openalex.org/W3109691465","https://openalex.org/W3130220917","https://openalex.org/W3142976848","https://openalex.org/W3197592544","https://openalex.org/W4223430533","https://openalex.org/W4313403471","https://openalex.org/W4317734402","https://openalex.org/W4327653270","https://openalex.org/W4380323215","https://openalex.org/W4380742767","https://openalex.org/W4388770533","https://openalex.org/W4389949985","https://openalex.org/W4395116259","https://openalex.org/W6635598528","https://openalex.org/W6662555409","https://openalex.org/W6844587615"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3102218526","https://openalex.org/W2060229505","https://openalex.org/W1902681586","https://openalex.org/W1965680823","https://openalex.org/W2744576313","https://openalex.org/W335072090","https://openalex.org/W2963625501","https://openalex.org/W1604812397","https://openalex.org/W1848557026"],"abstract_inverted_index":{"The":[0,37],"aim":[1],"of":[2,24,39],"this":[3],"paper":[4],"is":[5],"to":[6],"prove":[7],"a":[8,16],"theorem":[9,41],"for":[10],"holomorphic":[11],"twisted":[12],"quiver":[13],"bundles":[14],"over":[15],"special":[17],"non-compact":[18],"Gauduchon":[19],"manifold,":[20],"connecting":[21],"the":[22,31,40,44,48],"existence":[23],"(\u03c3,\u03c4)-Hermite\u2013Yang\u2013Mills":[25],"metric":[26],"in":[27,34],"differential":[28],"geometry":[29],"and":[30,47],"analytic":[32],"(\u03c3,\u03c4)-stability":[33],"algebraic":[35],"geometry.":[36],"proof":[38],"relies":[42],"on":[43],"flow":[45],"method":[46],"Uhlenbeck\u2013Yau\u2019s":[49],"continuity":[50],"method.":[51]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}