{"id":"https://openalex.org/W4412047572","doi":"https://doi.org/10.1007/s10957-025-02768-4","title":"Isometries of Almost-Riemannian Structures on Non-nilpotent, Solvable 3D Lie Groups","display_name":"Isometries of Almost-Riemannian Structures on Non-nilpotent, Solvable 3D Lie Groups","publication_year":2025,"publication_date":"2025-07-05","ids":{"openalex":"https://openalex.org/W4412047572","doi":"https://doi.org/10.1007/s10957-025-02768-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-025-02768-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02768-4","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054458684","display_name":"V\u00edctor Ayala","orcid":"https://orcid.org/0000-0001-5467-4180"},"institutions":[{"id":"https://openalex.org/I185652977","display_name":"University of Tarapac\u00e1","ror":"https://ror.org/04xe01d27","country_code":"CL","type":"education","lineage":["https://openalex.org/I185652977"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"V\u00edctor Ayala","raw_affiliation_strings":["Instituto de Alta Investigaci\u00f3n, Universidad de Tarapac\u00e1, Arica, Chile"],"affiliations":[{"raw_affiliation_string":"Instituto de Alta Investigaci\u00f3n, Universidad de Tarapac\u00e1, Arica, Chile","institution_ids":["https://openalex.org/I185652977"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059686662","display_name":"Adriano Da Silva","orcid":"https://orcid.org/0000-0003-3306-0141"},"institutions":[{"id":"https://openalex.org/I185652977","display_name":"University of Tarapac\u00e1","ror":"https://ror.org/04xe01d27","country_code":"CL","type":"education","lineage":["https://openalex.org/I185652977"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Adriano Da Silva","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad de Tarapac\u00e1, Iquique, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad de Tarapac\u00e1, Iquique, Chile","institution_ids":["https://openalex.org/I185652977"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004401160","display_name":"Danilo A. Garc\u00eda Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-0807-2602"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Danilo A. Garc\u00eda Hern\u00e1ndez","raw_affiliation_strings":["Instituto de Matem\u00e1tica, Universidade Estadual de Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica, Universidade Estadual de Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059686662"],"corresponding_institution_ids":["https://openalex.org/I185652977"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24472822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"207","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9997000098228455,"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":0.9997000098228455,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9955000281333923,"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/mathematics","display_name":"Mathematics","score":0.918830931186676},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.7313770055770874},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6581905484199524},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.621397078037262},{"id":"https://openalex.org/keywords/lie-theory","display_name":"Lie theory","score":0.5973984599113464},{"id":"https://openalex.org/keywords/simple-lie-group","display_name":"Simple Lie group","score":0.562923014163971},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5323230624198914},{"id":"https://openalex.org/keywords/adjoint-representation","display_name":"Adjoint representation","score":0.4721163511276245},{"id":"https://openalex.org/keywords/representation-of-a-lie-group","display_name":"Representation of a Lie group","score":0.4166371822357178},{"id":"https://openalex.org/keywords/adjoint-representation-of-a-lie-algebra","display_name":"Adjoint representation of a Lie algebra","score":0.2810479998588562},{"id":"https://openalex.org/keywords/lie-conformal-algebra","display_name":"Lie conformal algebra","score":0.11343786120414734}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.918830931186676},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.7313770055770874},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6581905484199524},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.621397078037262},{"id":"https://openalex.org/C143135876","wikidata":"https://www.wikidata.org/wiki/Q357300","display_name":"Lie theory","level":5,"score":0.5973984599113464},{"id":"https://openalex.org/C22365015","wikidata":"https://www.wikidata.org/wiki/Q1003162","display_name":"Simple Lie group","level":3,"score":0.562923014163971},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5323230624198914},{"id":"https://openalex.org/C58910974","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation","level":3,"score":0.4721163511276245},{"id":"https://openalex.org/C186489112","wikidata":"https://www.wikidata.org/wiki/Q763735","display_name":"Representation of a Lie group","level":3,"score":0.4166371822357178},{"id":"https://openalex.org/C203946495","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation of a Lie algebra","level":4,"score":0.2810479998588562},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.11343786120414734},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10957-025-02768-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02768-4","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5859020988","display_name":null,"funder_award_id":"001","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G7545286379","display_name":null,"funder_award_id":"1190142","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W194334607","https://openalex.org/W1972616956","https://openalex.org/W2024150398","https://openalex.org/W2072961349","https://openalex.org/W2078255209","https://openalex.org/W2160074920","https://openalex.org/W2166164984","https://openalex.org/W2320471620","https://openalex.org/W2621207026","https://openalex.org/W2762809803","https://openalex.org/W2962936107","https://openalex.org/W2963021451","https://openalex.org/W2963108295","https://openalex.org/W2963692636","https://openalex.org/W2963783146","https://openalex.org/W2964166820","https://openalex.org/W3100592158","https://openalex.org/W3138128591","https://openalex.org/W4210956211","https://openalex.org/W4241546036","https://openalex.org/W4309209071","https://openalex.org/W4384564360"],"related_works":["https://openalex.org/W2963405186","https://openalex.org/W4292581035","https://openalex.org/W4249315120","https://openalex.org/W2148876366","https://openalex.org/W645737676","https://openalex.org/W2218973506","https://openalex.org/W2100191743","https://openalex.org/W3109665289","https://openalex.org/W2064347857","https://openalex.org/W592942203"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
