{"id":"https://openalex.org/W1560782576","doi":"https://doi.org/10.1016/s0378-4754(02)00102-7","title":"On the nonexistence of a Lobachevsky geometry model of an isotropic and homogeneous universe","display_name":"On the nonexistence of a Lobachevsky geometry model of an isotropic and homogeneous universe","publication_year":2003,"publication_date":"2003-01-21","ids":{"openalex":"https://openalex.org/W1560782576","doi":"https://doi.org/10.1016/s0378-4754(02)00102-7","mag":"1560782576"},"language":"en","primary_location":{"id":"doi:10.1016/s0378-4754(02)00102-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(02)00102-7","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","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":null,"display_name":"M Kr\u00edzek","orcid":null},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"M Kr\u00edzek","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences, Zitn\u00e1 25, CZ-115 67 Prague 1, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences, Zitn\u00e1 25, CZ-115 67 Prague 1, Czech Republic","institution_ids":["https://openalex.org/I202391551"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I202391551"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05855856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"61","issue":"3-6","first_page":"525","last_page":"535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11960","display_name":"Relativity and Gravitational Theory","score":0.9973000288009644,"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/hypersurface","display_name":"Hypersurface","score":0.8413445353507996},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.8411206603050232},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.7661933898925781},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.671272337436676},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6337629556655884},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6114171147346497},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"Cosmological constant","score":0.5008096694946289},{"id":"https://openalex.org/keywords/shape-of-the-universe","display_name":"Shape of the universe","score":0.4692741930484772},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.45056265592575073},{"id":"https://openalex.org/keywords/einstein","display_name":"Einstein","score":0.4222491681575775},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38062044978141785},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3760281801223755},{"id":"https://openalex.org/keywords/astrophysics","display_name":"Astrophysics","score":0.21217432618141174},{"id":"https://openalex.org/keywords/cosmology","display_name":"Cosmology","score":0.1861763894557953},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17645475268363953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15400287508964539},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.13966074585914612},{"id":"https://openalex.org/keywords/dark-energy","display_name":"Dark energy","score":0.13182058930397034},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09954217076301575}],"concepts":[{"id":"https://openalex.org/C114410712","wikidata":"https://www.wikidata.org/wiki/Q973321","display_name":"Hypersurface","level":2,"score":0.8413445353507996},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.8411206603050232},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7661933898925781},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.671272337436676},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6337629556655884},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6114171147346497},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.5008096694946289},{"id":"https://openalex.org/C195407617","wikidata":"https://www.wikidata.org/wiki/Q1647152","display_name":"Shape of the universe","level":4,"score":0.4692741930484772},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.45056265592575073},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.4222491681575775},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38062044978141785},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3760281801223755},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.21217432618141174},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.1861763894557953},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17645475268363953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15400287508964539},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.13966074585914612},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.13182058930397034},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09954217076301575}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0378-4754(02)00102-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0378-4754(02)00102-7","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W76421234","https://openalex.org/W1495768073","https://openalex.org/W1520553742","https://openalex.org/W1573443250","https://openalex.org/W1575763248","https://openalex.org/W1581014661","https://openalex.org/W1587069887","https://openalex.org/W1651755753","https://openalex.org/W1953478438","https://openalex.org/W1987194932","https://openalex.org/W1994351320","https://openalex.org/W1999240617","https://openalex.org/W2021157451","https://openalex.org/W2055909425","https://openalex.org/W2079341603","https://openalex.org/W2082217691","https://openalex.org/W2101726463","https://openalex.org/W2125142421","https://openalex.org/W2613636248","https://openalex.org/W3004010645","https://openalex.org/W3021784936"],"related_works":["https://openalex.org/W2951389357","https://openalex.org/W1913326798","https://openalex.org/W2894591071","https://openalex.org/W4291556730","https://openalex.org/W397992210","https://openalex.org/W2953011201","https://openalex.org/W4220849151","https://openalex.org/W2046702487","https://openalex.org/W1978373102","https://openalex.org/W2014369504"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}
