{"id":"https://openalex.org/W4409621092","doi":"https://doi.org/10.1137/24m1644808","title":"The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold","display_name":"The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold","publication_year":2025,"publication_date":"2025-04-21","ids":{"openalex":"https://openalex.org/W4409621092","doi":"https://doi.org/10.1137/24m1644808"},"language":"en","primary_location":{"id":"doi:10.1137/24m1644808","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1644808","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2078.1/300690","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034347171","display_name":"P.-A. Absil","orcid":"https://orcid.org/0000-0003-2946-4178"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"P.-A. Absil","raw_affiliation_strings":["ICTEAM Institute, UCLouvain, B-1348 Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, B-1348 Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5094077329","display_name":"Simon Mataigne","orcid":null},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Simon Mataigne","raw_affiliation_strings":["ICTEAM Institute, UCLouvain, B-1348 Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM Institute, UCLouvain, B-1348 Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034347171"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":2.8582,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89417219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"46","issue":"2","first_page":"1145","last_page":"1167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9559000134468079,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9247999787330627,"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/mathematics","display_name":"Mathematics","score":0.872228741645813},{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.7453489303588867},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6120238900184631},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.572586715221405},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5154281854629517},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4714316427707672},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45389342308044434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3935718834400177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.872228741645813},{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.7453489303588867},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6120238900184631},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.572586715221405},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5154281854629517},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4714316427707672},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45389342308044434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3935718834400177},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1644808","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1644808","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:300690","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/300690","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"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":"SIAM Journal on Matrix Analysis and Applications, Vol. 46, no.2, p. 1145-1167 (2025)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dial.uclouvain.be:boreal:300690","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/300690","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"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":"SIAM Journal on Matrix Analysis and Applications, Vol. 46, no.2, p. 1145-1167 (2025)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.49000000953674316,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3420857747","display_name":null,"funder_award_id":"T.0001.23","funder_id":"https://openalex.org/F4320321390","funder_display_name":"Fonds De La Recherche Scientifique - FNRS"}],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1490644506","https://openalex.org/W1515037576","https://openalex.org/W1810520904","https://openalex.org/W1993193433","https://openalex.org/W1998691715","https://openalex.org/W2014042806","https://openalex.org/W2031014249","https://openalex.org/W2045512849","https://openalex.org/W2060530093","https://openalex.org/W2079630523","https://openalex.org/W2085818659","https://openalex.org/W2086953401","https://openalex.org/W2110662303","https://openalex.org/W2132838882","https://openalex.org/W2138674039","https://openalex.org/W2149338181","https://openalex.org/W2164118370","https://openalex.org/W2279699992","https://openalex.org/W2587057446","https://openalex.org/W2606401952","https://openalex.org/W2890410771","https://openalex.org/W2903188926","https://openalex.org/W2962777248","https://openalex.org/W2981748719","https://openalex.org/W2990138404","https://openalex.org/W2999695911","https://openalex.org/W3102317997","https://openalex.org/W3103229078","https://openalex.org/W3103537458","https://openalex.org/W3106048390","https://openalex.org/W3137801329","https://openalex.org/W4205293427","https://openalex.org/W4229801863","https://openalex.org/W4235476591","https://openalex.org/W4293203252","https://openalex.org/W4321274597","https://openalex.org/W4323539420","https://openalex.org/W4390613691"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2897990660","https://openalex.org/W3025932934","https://openalex.org/W3162853669","https://openalex.org/W2569171899","https://openalex.org/W8105021","https://openalex.org/W2084640076","https://openalex.org/W46024256","https://openalex.org/W183393176","https://openalex.org/W2132884359"],"abstract_inverted_index":{"We":[0],"exhibit":[1],"conjugate":[2,71],"points":[3,69],"on":[4,42],"the":[5,13,33,43,47,51,58,61,64,68,73,82,85,94],"Stiefel":[6,48],"manifold":[7,49],"endowed":[8],"with":[9],"any":[10],"member":[11],"of":[12,15,46,63,75],"family":[14,31],"Riemannian":[16],"metrics":[17],"introduced":[18],"by":[19],"H\u00fcper":[20],"et":[21],"al.":[22],"[J.":[23],"Geom.":[24],"Mech.,":[25],"13":[26],"(2021),":[27],"pp.":[28],"55\u201372].":[29],"This":[30],"contains":[32],"well-known":[34],"canonical":[35],"and":[36,72],"Euclidean":[37],"metrics.":[38],"An":[39],"upper":[40,87],"bound":[41,88],"injectivity":[44,95],"radius":[45],"in":[50,90],"considered":[52],"metric":[53],"is":[54,89],"then":[55],"obtained":[56,86],"as":[57],"minimum":[59],"between":[60],"length":[62,74],"geodesic":[65,77],"along":[66],"which":[67],"are":[70],"certain":[76],"loops.":[78],"Numerical":[79],"experiments":[80],"support":[81],"conjecture":[83],"that":[84],"fact":[91],"equal":[92],"to":[93],"radius.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
