{"id":"https://openalex.org/W3135561901","doi":"https://doi.org/10.1007/978-3-030-80209-7_14","title":"A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant Metric","display_name":"A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant Metric","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3135561901","doi":"https://doi.org/10.1007/978-3-030-80209-7_14","mag":"3135561901"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-80209-7_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.01585","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002942163","display_name":"Nicolas Guigui","orcid":"https://orcid.org/0000-0002-7901-0732"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Guigui","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur and Inria, Epione Project Team, Sophia-Antipolis, France","UCA, EPIONE"],"raw_orcid":"https://orcid.org/0000-0002-7901-0732","affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur and Inria, Epione Project Team, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]},{"raw_affiliation_string":"UCA, EPIONE","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003253553","display_name":"Xavier Pennec","orcid":"https://orcid.org/0000-0002-6617-7664"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Pennec","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur and Inria, Epione Project Team, Sophia-Antipolis, France","UCA, EPIONE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur and Inria, Epione Project Team, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]},{"raw_affiliation_string":"UCA, EPIONE","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05769231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"119","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.9767000079154968,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9124000072479248,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.748197615146637},{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.6624158620834351},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.5610292553901672},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5599991083145142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5360389947891235},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4523504674434662},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.41423919796943665},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3721753656864166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3389695882797241},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.23441076278686523},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07939943671226501},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.06259465217590332}],"concepts":[{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.748197615146637},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.6624158620834351},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5610292553901672},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5599991083145142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5360389947891235},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4523504674434662},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.41423919796943665},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3721753656864166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3389695882797241},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.23441076278686523},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07939943671226501},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.06259465217590332},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-030-80209-7_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2103.01585","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.01585","pdf_url":"https://arxiv.org/pdf/2103.01585","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3135561901","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.01585.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03154318v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03154318","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GSI 2021 - 5th conference on Geometric Science of Information, Jul 2021, Paris, France. pp.119-126, &#x27E8;10.1007/978-3-030-80209-7_14&#x27E9;","raw_type":"Conference papers"},{"id":"doi:10.48550/arxiv.2103.01585","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.01585","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.01585","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.01585","pdf_url":"https://arxiv.org/pdf/2103.01585","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2113015678","display_name":null,"funder_award_id":"ANR-19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1546014850","https://openalex.org/W1632150706","https://openalex.org/W1762147622","https://openalex.org/W1943808550","https://openalex.org/W1983795327","https://openalex.org/W1994088960","https://openalex.org/W2001710996","https://openalex.org/W2041339162","https://openalex.org/W2061356302","https://openalex.org/W2061499442","https://openalex.org/W2106477228","https://openalex.org/W2154061763","https://openalex.org/W2200341769","https://openalex.org/W2201034663","https://openalex.org/W2266411499","https://openalex.org/W2804935370","https://openalex.org/W2949122071","https://openalex.org/W2954483684","https://openalex.org/W2971312107","https://openalex.org/W3014778885","https://openalex.org/W3042525331","https://openalex.org/W3049262741","https://openalex.org/W3105155167","https://openalex.org/W3107825492","https://openalex.org/W3176109468","https://openalex.org/W4248305210"],"related_works":["https://openalex.org/W3184569230","https://openalex.org/W2328942628","https://openalex.org/W2084155910","https://openalex.org/W2021499360","https://openalex.org/W2047842475","https://openalex.org/W1980874883","https://openalex.org/W2028285252","https://openalex.org/W3042525331","https://openalex.org/W2106667965","https://openalex.org/W309567917","https://openalex.org/W2089460038","https://openalex.org/W2000700700","https://openalex.org/W2196065910","https://openalex.org/W1996624572","https://openalex.org/W2200341769","https://openalex.org/W2106361400","https://openalex.org/W2003158327","https://openalex.org/W2006970299","https://openalex.org/W2127322656","https://openalex.org/W1982729005"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}
