{"id":"https://openalex.org/W7204126806","doi":"https://doi.org/10.2139/ssrn.7344727","title":"Transverse Jacobi factorization and maximal-multiplicity lightlikefocal collapse for codimension-two spacelike submanifolds in spacetimes","display_name":"Transverse Jacobi factorization and maximal-multiplicity lightlikefocal collapse for codimension-two spacelike submanifolds in spacetimes","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7204126806","doi":"https://doi.org/10.2139/ssrn.7344727"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.7344727","doi":"https://doi.org/10.2139/ssrn.7344727","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7344727","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.7344727","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027919259","display_name":"J.S. G\u00f3mez","orcid":"https://orcid.org/0000-0003-4038-2667","observed_orcids":["https://orcid.org/0000-0003-4038-2667"]},"institutions":[{"id":"https://openalex.org/I918821925","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82","country_code":"ES","type":"government","lineage":["https://openalex.org/I918821925"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Juan S. G\u00f3mez","raw_affiliation_strings":["Consejer\u00eda de Educaci\u00f3n (Junta de Andaluc\u00eda), C. Juan Antonio de Vizarr\u00f3n, s. n., Sevilla, Sevilla 41092, Spain"],"raw_orcid":"https://orcid.org/0000-0003-4038-2667","affiliations":[{"raw_affiliation_string":"Consejer\u00eda de Educaci\u00f3n (Junta de Andaluc\u00eda), C. Juan Antonio de Vizarr\u00f3n, s. n., Sevilla, Sevilla 41092, Spain","institution_ids":["https://openalex.org/I918821925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027919259"],"corresponding_institution_ids":["https://openalex.org/I918821925"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9940999746322632,"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"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9940999746322632,"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"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.004999999888241291,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/caustics","display_name":"caustics","score":0.8100000023841858},{"id":"https://openalex.org/keywords/weyl-curvature","display_name":"Weyl curvature","score":0.7300000190734863},{"id":"https://openalex.org/keywords/spherically-symmetric-spacetimes","display_name":"spherically symmetric spacetimes","score":0.7749999761581421}],"concepts":[{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.6412000060081482},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5401999950408936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5152999758720398},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4860000014305115},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.45159998536109924},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C138395690","wikidata":"https://www.wikidata.org/wiki/Q376733","display_name":"Cardinal point","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.4255000054836273},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.414000004529953},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.39239999651908875},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.3871000111103058},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.36629998683929443},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3303000032901764},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.31040000915527344},{"id":"https://openalex.org/C2776716506","wikidata":"https://www.wikidata.org/wiki/Q5161158","display_name":"Conjugate points","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C2779567845","wikidata":"https://www.wikidata.org/wiki/Q3492725","display_name":"Caustic (mathematics)","level":2,"score":0.2849000096321106},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.2806999981403351},{"id":"https://openalex.org/C633612","wikidata":"https://www.wikidata.org/wiki/Q81192","display_name":"Jacobi operator","level":4,"score":0.2597000002861023}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.7344727","doi":"https://doi.org/10.2139/ssrn.7344727","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7344727","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.7344727","doi":"https://doi.org/10.2139/ssrn.7344727","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7344727","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W218307779","https://openalex.org/W4413149861","https://openalex.org/W899067108","https://openalex.org/W2057766595","https://openalex.org/W2118601916","https://openalex.org/W848872787","https://openalex.org/W1971590346","https://openalex.org/W7117082595","https://openalex.org/W1672038173","https://openalex.org/W7096649865"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-08-25T00:00:00"}