{"id":"https://openalex.org/W2127322656","doi":"https://doi.org/10.1007/978-3-642-04802-9_7","title":"Complete Shape Metric and Geodesic","display_name":"Complete Shape Metric and Geodesic","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2127322656","doi":"https://doi.org/10.1007/978-3-642-04802-9_7","mag":"2127322656"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04802-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04802-9_7","pdf_url":null,"source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"type":"book-chapter","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/A5111393023","display_name":"Jean-Paul Zol\u00e9sio","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Paul Zol\u00e9sio","raw_affiliation_strings":["CNRS and INRIA, INRIA, 2004 route des Lucioles, BP 93, 06902, Sophia Antipolis Cedex, France"],"affiliations":[{"raw_affiliation_string":"CNRS and INRIA, INRIA, 2004 route des Lucioles, BP 93, 06902, Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111393023"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":3.3238,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.92838654,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"144","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.980400025844574,"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":0.980400025844574,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9613999724388123,"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/geodesic","display_name":"Geodesic","score":0.8785117864608765},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.8579807281494141},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7008827924728394},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5903147459030151},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5637900829315186},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5116158127784729},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.4671468436717987},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.44273439049720764},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4299294948577881},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.42179951071739197},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.41579392552375793},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4123438894748688},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36632782220840454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16942235827445984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08005404472351074}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8785117864608765},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.8579807281494141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7008827924728394},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5903147459030151},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5637900829315186},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5116158127784729},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.4671468436717987},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.44273439049720764},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4299294948577881},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.42179951071739197},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.41579392552375793},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4123438894748688},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36632782220840454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16942235827445984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08005404472351074},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-04802-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04802-9_7","pdf_url":null,"source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W165966263","https://openalex.org/W178344362","https://openalex.org/W619327297","https://openalex.org/W1135008333","https://openalex.org/W1584280986","https://openalex.org/W1600417839","https://openalex.org/W2000320458","https://openalex.org/W2010227871","https://openalex.org/W2016782765","https://openalex.org/W2029997366","https://openalex.org/W2040867282","https://openalex.org/W2077156161","https://openalex.org/W2085740870","https://openalex.org/W2142145763","https://openalex.org/W2155192930","https://openalex.org/W2172603215","https://openalex.org/W2232514480","https://openalex.org/W2473797792","https://openalex.org/W2482399976","https://openalex.org/W2482990783","https://openalex.org/W2491175199","https://openalex.org/W2493701475","https://openalex.org/W2496642855","https://openalex.org/W2500400848","https://openalex.org/W2504461852","https://openalex.org/W4230659860","https://openalex.org/W4233268923","https://openalex.org/W4242035758","https://openalex.org/W4293183906"],"related_works":["https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W2000020320","https://openalex.org/W4252969132","https://openalex.org/W2805799113","https://openalex.org/W1981078319","https://openalex.org/W1964872188","https://openalex.org/W4387315838","https://openalex.org/W2100354649","https://openalex.org/W2810409319"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
