{"id":"https://openalex.org/W2795721159","doi":"https://doi.org/10.1007/s10444-018-9601-0","title":"Left Lie reduction for curves in homogeneous spaces","display_name":"Left Lie reduction for curves in homogeneous spaces","publication_year":2018,"publication_date":"2018-04-02","ids":{"openalex":"https://openalex.org/W2795721159","doi":"https://doi.org/10.1007/s10444-018-9601-0","mag":"2795721159"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-018-9601-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-018-9601-0","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ro.ecu.edu.au/ecuworkspost2013/11533","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014124196","display_name":"Erchuan Zhang","orcid":"https://orcid.org/0000-0002-4005-5431"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Erchuan Zhang","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Western Australia, Perth, WA, 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Western Australia, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001541606","display_name":"Lyle Noakes","orcid":"https://orcid.org/0000-0001-9595-0735"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lyle Noakes","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Western Australia, Perth, WA, 6009, Australia"],"raw_orcid":"https://orcid.org/0000-0001-9595-0735","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Western Australia, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014124196"],"corresponding_institution_ids":["https://openalex.org/I177877127"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0387,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.72409699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"44","issue":"5","first_page":"1673","last_page":"1686"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9955999851226807,"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":0.9955999851226807,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9940999746322632,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9890000224113464,"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/mathematics","display_name":"Mathematics","score":0.7865752577781677},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.6814134120941162},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.49653202295303345},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4665279984474182},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4646762013435364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3673844337463379},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30310434103012085}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7865752577781677},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.6814134120941162},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.49653202295303345},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4665279984474182},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4646762013435364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3673844337463379},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30310434103012085}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10444-018-9601-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-018-9601-0","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ro.ecu.edu.au:ecuworkspost2013-12539","is_oa":true,"landing_page_url":"https://ro.ecu.edu.au/ecuworkspost2013/11533","pdf_url":null,"source":{"id":"https://openalex.org/S2765015692","display_name":"Australasian Journal of Paramedicine","issn_l":"2202-7270","issn":["2202-7270"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research outputs 2014 to 2021","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/ceb50bb3-7398-4764-9528-eba74e0763fb","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85044740433&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zhang , E &amp; Noakes , L 2018 , ' Left Lie reduction for curves in homogeneous spaces ' , Advances in Computational Mathematics , vol. 44 , no. 5 , pp. 1673-1686 . https://doi.org/10.1007/s10444-018-9601-0","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:ro.ecu.edu.au:ecuworkspost2013-12539","is_oa":true,"landing_page_url":"https://ro.ecu.edu.au/ecuworkspost2013/11533","pdf_url":null,"source":{"id":"https://openalex.org/S2765015692","display_name":"Australasian Journal of Paramedicine","issn_l":"2202-7270","issn":["2202-7270"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research outputs 2014 to 2021","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W624213318","https://openalex.org/W1515037576","https://openalex.org/W1540059687","https://openalex.org/W1558012644","https://openalex.org/W1664701315","https://openalex.org/W1737290713","https://openalex.org/W1856011404","https://openalex.org/W1968177950","https://openalex.org/W1982241268","https://openalex.org/W1982729005","https://openalex.org/W1986281772","https://openalex.org/W2003475638","https://openalex.org/W2030394252","https://openalex.org/W2030527848","https://openalex.org/W2059654406","https://openalex.org/W2063157981","https://openalex.org/W2066031421","https://openalex.org/W2067830386","https://openalex.org/W2069277609","https://openalex.org/W2071205897","https://openalex.org/W2073065229","https://openalex.org/W2104068117","https://openalex.org/W2125275573","https://openalex.org/W2251385346","https://openalex.org/W2320438804","https://openalex.org/W2512301343","https://openalex.org/W2604832373","https://openalex.org/W2611872645","https://openalex.org/W3140595534","https://openalex.org/W4206033904","https://openalex.org/W4230188119","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1542253299","https://openalex.org/W4300366167","https://openalex.org/W1688912791","https://openalex.org/W917633874","https://openalex.org/W2963288691","https://openalex.org/W4298401637","https://openalex.org/W3101471031","https://openalex.org/W4230659680","https://openalex.org/W2940979654","https://openalex.org/W3187502309"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
