{"id":"https://openalex.org/W2772134406","doi":"https://doi.org/10.1007/s00332-001-0472-y","title":"Integrable Systems in Three-Dimensional Riemannian Geometry","display_name":"Integrable Systems in Three-Dimensional Riemannian Geometry","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2772134406","doi":"https://doi.org/10.1007/s00332-001-0472-y","mag":"2772134406"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-001-0472-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-001-0472-y","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016931168","display_name":"Gloria Ma\u0155\u0131 Beffa","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. Mar\u00ed Beffa","raw_affiliation_strings":["Mathematics Department, University of Wisconsin, Madison, Wisconsin 53706, USA, US"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Wisconsin, Madison, Wisconsin 53706, USA, US","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059159255","display_name":"Jan A. Sanders","orcid":"https://orcid.org/0000-0003-0499-9889"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. A. Sanders","raw_affiliation_strings":["Vrije Universiteit, Faculty of Sciences, Division of Mathematics and Computer Science,   De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands, NL"],"affiliations":[{"raw_affiliation_string":"Vrije Universiteit, Faculty of Sciences, Division of Mathematics and Computer Science,   De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands, NL","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050162694","display_name":"Jing Ping Wang","orcid":"https://orcid.org/0000-0002-6874-5629"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jing Ping Wang","raw_affiliation_strings":["Vrije Universiteit, Faculty of Sciences, Division of Mathematics and Computer Science,   De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands, NL"],"affiliations":[{"raw_affiliation_string":"Vrije Universiteit, Faculty of Sciences, Division of Mathematics and Computer Science,   De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands, NL","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016931168"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.9294,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.95861765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"12","issue":"2","first_page":"143","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9991999864578247,"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":0.9991999864578247,"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/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/T12351","display_name":"Geometry and complex manifolds","score":0.9955999851226807,"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/integrable-system","display_name":"Integrable system","score":0.7795993685722351},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.7015405893325806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6855798959732056},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.6491960287094116},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5824726819992065},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.5317002534866333},{"id":"https://openalex.org/keywords/constant-curvature","display_name":"Constant curvature","score":0.512311577796936},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4906114637851715},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47593072056770325},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.47284868359565735},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.46405044198036194},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.43604761362075806},{"id":"https://openalex.org/keywords/superintegrable-hamiltonian-system","display_name":"Superintegrable Hamiltonian system","score":0.42874065041542053},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4189288020133972},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.41117045283317566},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.364716112613678},{"id":"https://openalex.org/keywords/covariant-hamiltonian-field-theory","display_name":"Covariant Hamiltonian field theory","score":0.22051483392715454},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.17915984988212585}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.7795993685722351},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.7015405893325806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6855798959732056},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.6491960287094116},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5824726819992065},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.5317002534866333},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.512311577796936},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4906114637851715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47593072056770325},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.47284868359565735},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.46405044198036194},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43604761362075806},{"id":"https://openalex.org/C177715462","wikidata":"https://www.wikidata.org/wiki/Q7643453","display_name":"Superintegrable Hamiltonian system","level":4,"score":0.42874065041542053},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4189288020133972},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.41117045283317566},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.364716112613678},{"id":"https://openalex.org/C109798219","wikidata":"https://www.wikidata.org/wiki/Q25304038","display_name":"Covariant Hamiltonian field theory","level":3,"score":0.22051483392715454},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.17915984988212585},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00332-001-0472-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-001-0472-y","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:kar.kent.ac.uk:8819","is_oa":false,"landing_page_url":"https://kar.kent.ac.uk/8819/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:research.vu.nl:openaire_cris_publications/c2f2da39-ffe1-4521-8aa6-8a3354619ce1","is_oa":false,"landing_page_url":"https://hdl.handle.net/1871.1/c2f2da39-ffe1-4521-8aa6-8a3354619ce1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400546","display_name":"Digital Academic REpository of VU University Amsterdam (Vrije Universiteit Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mar\u00ed Beffa, G, Sanders, J A & Wang, J P 2002, 'Integrable systems in three-dimensional Riemannian geometry', Journal of nonlinear science, vol. 12, no. 2, pp. 143-167. https://doi.org/10.1007/s00332-001-0472-y","raw_type":"article"},{"id":"pmh:vu:oai:research.vu.nl:publications/c2f2da39-ffe1-4521-8aa6-8a3354619ce1","is_oa":false,"landing_page_url":"https://research.vu.nl/en/publications/c2f2da39-ffe1-4521-8aa6-8a3354619ce1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of nonlinear science, 12(2), 143 - 167. Springer New York","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W202025082","https://openalex.org/W922940836","https://openalex.org/W943352514","https://openalex.org/W1615296369","https://openalex.org/W1994214975","https://openalex.org/W1994399854","https://openalex.org/W2014630631","https://openalex.org/W2030211848","https://openalex.org/W2064607850","https://openalex.org/W2093785095","https://openalex.org/W2098270766","https://openalex.org/W2118551292","https://openalex.org/W2151026187","https://openalex.org/W2154676379","https://openalex.org/W2179428325","https://openalex.org/W3038588914","https://openalex.org/W3104519085"],"related_works":["https://openalex.org/W2075021247","https://openalex.org/W1964521256","https://openalex.org/W2032214960","https://openalex.org/W1602352694","https://openalex.org/W3214410636","https://openalex.org/W4252222695","https://openalex.org/W2043268301","https://openalex.org/W2504596514","https://openalex.org/W4237322111","https://openalex.org/W2772134406"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2017-12-22T00:00:00"}