{"id":"https://openalex.org/W4405781573","doi":"https://doi.org/10.3390/sym17010010","title":"Classification of Algebraic Schouten Solitons on Lorentzian Lie Groups Associated with the Perturbed Canonical Connection and the Perturbed Kobayashi\u2013Nomizu Connection","display_name":"Classification of Algebraic Schouten Solitons on Lorentzian Lie Groups Associated with the Perturbed Canonical Connection and the Perturbed Kobayashi\u2013Nomizu Connection","publication_year":2024,"publication_date":"2024-12-25","ids":{"openalex":"https://openalex.org/W4405781573","doi":"https://doi.org/10.3390/sym17010010"},"language":"en","primary_location":{"id":"doi:10.3390/sym17010010","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010010","pdf_url":"https://www.mdpi.com/2073-8994/17/1/10/pdf?version=1735114352","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/2073-8994/17/1/10/pdf?version=1735114352","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115646770","display_name":"Jinguo Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinguo Jiang","raw_affiliation_strings":["School of Mathematical Science, Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113923554","display_name":"Yanni Yang","orcid":"https://orcid.org/0009-0003-0524-4004"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanni Yang","raw_affiliation_strings":["School of Mathematical Science, Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113923554"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2305878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"10","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13221","display_name":"Biological Activity of Diterpenoids and Biflavonoids","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9897000193595886,"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/connection","display_name":"Connection (principal bundle)","score":0.8920284509658813},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.7759519815444946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5765226483345032},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.5416058301925659},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48297062516212463},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.46398118138313293},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.442125529050827},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4146023094654083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4085673391819},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2204071581363678},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11800488829612732}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.8920284509658813},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.7759519815444946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5765226483345032},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.5416058301925659},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48297062516212463},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.46398118138313293},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.442125529050827},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4146023094654083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4085673391819},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2204071581363678},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11800488829612732}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym17010010","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010010","pdf_url":"https://www.mdpi.com/2073-8994/17/1/10/pdf?version=1735114352","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:05cc5ef82c7341f4b347285d44fe7eb0","is_oa":true,"landing_page_url":"https://doaj.org/article/05cc5ef82c7341f4b347285d44fe7eb0","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 17, Iss 1, p 10 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym17010010","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17010010","pdf_url":"https://www.mdpi.com/2073-8994/17/1/10/pdf?version=1735114352","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":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328898","display_name":"Natural Science Foundation of Xinjiang","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405781573.pdf","grobid_xml":"https://content.openalex.org/works/W4405781573.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1527598588","https://openalex.org/W1974768681","https://openalex.org/W1994274023","https://openalex.org/W1998406119","https://openalex.org/W2001710996","https://openalex.org/W2040513715","https://openalex.org/W2066715134","https://openalex.org/W2141776582","https://openalex.org/W2181687468","https://openalex.org/W2606226633","https://openalex.org/W2962801967","https://openalex.org/W2963796167","https://openalex.org/W3015968526","https://openalex.org/W3130764062","https://openalex.org/W3161739597","https://openalex.org/W4249279429","https://openalex.org/W4284708299","https://openalex.org/W4312946433","https://openalex.org/W4362669719","https://openalex.org/W4392809362","https://openalex.org/W4393948383","https://openalex.org/W6685826669","https://openalex.org/W6736061061"],"related_works":["https://openalex.org/W4405781573","https://openalex.org/W2963288691","https://openalex.org/W4298401637","https://openalex.org/W2940979654","https://openalex.org/W2277628821","https://openalex.org/W4293365293","https://openalex.org/W3023070374","https://openalex.org/W1529494625","https://openalex.org/W2342017063","https://openalex.org/W2351578128"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,29],"investigate":[4],"the":[5,19,24,31,46,64,76],"algebraic":[6,9,36,47,59,72],"conditions":[7],"of":[8],"Schouten":[10,37,48,60,73],"solitons":[11,38,61],"on":[12,39],"three-dimensional":[13,40],"Lorentzian":[14,41],"Lie":[15,42],"groups":[16,43],"associated":[17,44],"with":[18,45],"perturbed":[20,25,65],"canonical":[21],"connection":[22],"and":[23,69,75],"Kobayashi\u2013Nomizu":[26,66],"connection.":[27],"Furthermore,":[28],"provide":[30],"complete":[32],"classification":[33],"for":[34,78],"these":[35],"solitons.":[49],"The":[50],"main":[51],"results":[52],"indicate":[53],"that":[54],"G4":[55],"does":[56],"not":[57],"possess":[58,71],"related":[62],"to":[63],"connection,":[67],"G1,G2,G3,G6,":[68],"G7":[70],"solitons,":[74],"result":[77],"G5":[79],"is":[80],"trivial.":[81]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2024-12-26T00:00:00"}