{"id":"https://openalex.org/W4362554000","doi":"https://doi.org/10.1007/s00332-023-09898-x","title":"Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors","display_name":"Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors","publication_year":2023,"publication_date":"2023-03-31","ids":{"openalex":"https://openalex.org/W4362554000","doi":"https://doi.org/10.1007/s00332-023-09898-x"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-023-09898-x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s00332-023-09898-x","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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 Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://nottingham-repository.worktribe.com/output/17945368","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005239381","display_name":"Dmitry Golovaty","orcid":"https://orcid.org/0000-0003-0696-2211"},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dmitry Golovaty","raw_affiliation_strings":["Department of Mathematics, The University of Akron, Akron, OH, 44325, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Akron, Akron, OH, 44325, USA","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025429608","display_name":"Matthias Kurzke","orcid":"https://orcid.org/0000-0002-0974-2532"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Matthias Kurzke","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047235709","display_name":"Jos\u00e9 Alberto Montero","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jose Alberto Montero","raw_affiliation_strings":["Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Santiago, Chile","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069548133","display_name":"Daniel Spirn","orcid":"https://orcid.org/0000-0002-2628-9274"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel Spirn","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069548133"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0807,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.25349232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9983000159263611,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.992900013923645,"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/tetrahedron","display_name":"Tetrahedron","score":0.767186164855957},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6375799179077148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5899724364280701},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5518648028373718},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4584881663322449},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.44374802708625793},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43966299295425415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42693397402763367},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.38568440079689026},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3703463673591614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20817643404006958}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.767186164855957},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6375799179077148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5899724364280701},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5518648028373718},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4584881663322449},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.44374802708625793},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43966299295425415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42693397402763367},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38568440079689026},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3703463673591614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20817643404006958},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-023-09898-x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s00332-023-09898-x","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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 Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:nottingham-repository.worktribe.com:17945368","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/17945368","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":null,"raw_type":"acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:nottingham-repository.worktribe.com:17945368","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/17945368","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":null,"raw_type":"acceptedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W1499787021","https://openalex.org/W1506783568","https://openalex.org/W1601239706","https://openalex.org/W1783297382","https://openalex.org/W1877525712","https://openalex.org/W1916948071","https://openalex.org/W1971802241","https://openalex.org/W1981046521","https://openalex.org/W1991393198","https://openalex.org/W1999370548","https://openalex.org/W2011895992","https://openalex.org/W2012886063","https://openalex.org/W2015774454","https://openalex.org/W2020102793","https://openalex.org/W2027050916","https://openalex.org/W2033793393","https://openalex.org/W2036297569","https://openalex.org/W2037964241","https://openalex.org/W2045122154","https://openalex.org/W2051833260","https://openalex.org/W2053283536","https://openalex.org/W2058291122","https://openalex.org/W2076702317","https://openalex.org/W2092534643","https://openalex.org/W2095001466","https://openalex.org/W2110990313","https://openalex.org/W2130872685","https://openalex.org/W2148615180","https://openalex.org/W2163443257","https://openalex.org/W2238641799","https://openalex.org/W2322208166","https://openalex.org/W2516979964","https://openalex.org/W2746836818","https://openalex.org/W2760492384","https://openalex.org/W2890273850","https://openalex.org/W2900681563","https://openalex.org/W2906619313","https://openalex.org/W2962696410","https://openalex.org/W2963001972","https://openalex.org/W2963145016","https://openalex.org/W2964284688","https://openalex.org/W2965663960","https://openalex.org/W2967022070","https://openalex.org/W2990515615","https://openalex.org/W2997035003","https://openalex.org/W2999602145","https://openalex.org/W3005784533","https://openalex.org/W3015365395","https://openalex.org/W3026260113","https://openalex.org/W3098271837","https://openalex.org/W3098581936","https://openalex.org/W3100976398","https://openalex.org/W3101726083","https://openalex.org/W3104761615","https://openalex.org/W3105311032","https://openalex.org/W3165401687","https://openalex.org/W3195424214","https://openalex.org/W3195512892","https://openalex.org/W3198915868","https://openalex.org/W3201209327","https://openalex.org/W3202801480","https://openalex.org/W4293225086","https://openalex.org/W6603353195","https://openalex.org/W6828002997"],"related_works":["https://openalex.org/W3118783749","https://openalex.org/W2002583644","https://openalex.org/W3119989344","https://openalex.org/W2025402442","https://openalex.org/W2098990162","https://openalex.org/W1987870972","https://openalex.org/W2993813190","https://openalex.org/W2567351266","https://openalex.org/W1998766989","https://openalex.org/W2981680163"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
