{"id":"https://openalex.org/W4313413998","doi":"https://doi.org/10.3390/sym15010077","title":"Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds","display_name":"Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds","publication_year":2022,"publication_date":"2022-12-27","ids":{"openalex":"https://openalex.org/W4313413998","doi":"https://doi.org/10.3390/sym15010077"},"language":"en","primary_location":{"id":"doi:10.3390/sym15010077","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010077","pdf_url":"https://www.mdpi.com/2073-8994/15/1/77/pdf?version=1672221629","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/1/77/pdf?version=1672221629","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039172048","display_name":"\u00d6mer Aksu","orcid":null},"institutions":[{"id":"https://openalex.org/I80538482","display_name":"Harran University","ror":"https://ror.org/057qfs197","country_code":"TR","type":"education","lineage":["https://openalex.org/I80538482"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u00d6mer Aksu","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, Harran University, \u015eanl\u0131urfa 63300, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-7228-8240","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, Harran University, \u015eanl\u0131urfa 63300, Turkey","institution_ids":["https://openalex.org/I80538482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045110537","display_name":"Mehmet G\u00fclbahar","orcid":"https://orcid.org/0000-0001-6950-7633"},"institutions":[{"id":"https://openalex.org/I80538482","display_name":"Harran University","ror":"https://ror.org/057qfs197","country_code":"TR","type":"education","lineage":["https://openalex.org/I80538482"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mehmet G\u00fclbahar","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, Harran University, \u015eanl\u0131urfa 63300, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-6950-7633","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, Harran University, \u015eanl\u0131urfa 63300, Turkey","institution_ids":["https://openalex.org/I80538482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018434398","display_name":"Esra Erkan","orcid":"https://orcid.org/0000-0003-0456-6418"},"institutions":[{"id":"https://openalex.org/I80538482","display_name":"Harran University","ror":"https://ror.org/057qfs197","country_code":"TR","type":"education","lineage":["https://openalex.org/I80538482"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Esra Erkan","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, Harran University, \u015eanl\u0131urfa 63300, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-0456-6418","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, Harran University, \u015eanl\u0131urfa 63300, Turkey","institution_ids":["https://openalex.org/I80538482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018434398"],"corresponding_institution_ids":["https://openalex.org/I80538482"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.7018,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67718256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"1","first_page":"77","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9998000264167786,"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":0.9998000264167786,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9908999800682068,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9902999997138977,"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/invariant","display_name":"Invariant (physics)","score":0.7448914647102356},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6498165130615234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5072085857391357},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3563033938407898},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.14426323771476746}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7448914647102356},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6498165130615234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5072085857391357},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3563033938407898},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.14426323771476746}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15010077","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010077","pdf_url":"https://www.mdpi.com/2073-8994/15/1/77/pdf?version=1672221629","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3562f122b392472d9382be6ab209f394","is_oa":false,"landing_page_url":"https://doaj.org/article/3562f122b392472d9382be6ab209f394","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 1, p 77 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/1/77/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15010077","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15010077","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15010077","pdf_url":"https://www.mdpi.com/2073-8994/15/1/77/pdf?version=1672221629","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.46000000834465027,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313413998.pdf","grobid_xml":"https://content.openalex.org/works/W4313413998.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W72878303","https://openalex.org/W145342550","https://openalex.org/W207829971","https://openalex.org/W812673485","https://openalex.org/W1520168181","https://openalex.org/W1562546491","https://openalex.org/W1582894873","https://openalex.org/W1992840719","https://openalex.org/W2001033330","https://openalex.org/W2013311751","https://openalex.org/W2022076806","https://openalex.org/W2026462013","https://openalex.org/W2066906118","https://openalex.org/W2090642757","https://openalex.org/W2093872474","https://openalex.org/W2148083244","https://openalex.org/W2165105831","https://openalex.org/W2275930313","https://openalex.org/W2395422234","https://openalex.org/W2499172501","https://openalex.org/W2749763126","https://openalex.org/W2802774444","https://openalex.org/W2949806910","https://openalex.org/W2993653754","https://openalex.org/W3009310127","https://openalex.org/W3181760716","https://openalex.org/W4200031527","https://openalex.org/W4200422772","https://openalex.org/W4200514290","https://openalex.org/W4220727228","https://openalex.org/W4240085759","https://openalex.org/W4283737818","https://openalex.org/W4286491748","https://openalex.org/W4292809587","https://openalex.org/W4296020618","https://openalex.org/W4296052929","https://openalex.org/W4297894266","https://openalex.org/W4298004036","https://openalex.org/W4306406252","https://openalex.org/W4307856324","https://openalex.org/W4308535390","https://openalex.org/W4312435947","https://openalex.org/W4387328814","https://openalex.org/W4405985596","https://openalex.org/W6648711382","https://openalex.org/W6650634180","https://openalex.org/W6657087897","https://openalex.org/W6673159125","https://openalex.org/W6798993071"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0],"main":[1],"purpose":[2],"of":[3,11,26,36],"this":[4,17],"paper":[5],"is":[6],"to":[7],"investigate":[8],"lightlike":[9,24,47],"hypersurfaces":[10,25,48],"almost":[12,27],"productlike":[13,28],"semi-Riemannian":[14,29],"manifolds.":[15],"For":[16],"purpose,":[18],"screen-semi-invariant,":[19],"screen-invariant,":[20],"radical-anti-invariant,":[21],"and":[22,33],"radical-invariant":[23],"manifolds":[30],"are":[31,39,49],"introduced":[32],"some":[34],"examples":[35],"these":[37],"classifications":[38],"presented.":[40],"Furthermore,":[41],"various":[42],"characterizations":[43],"dealing":[44],"screen":[45],"semi-invariant":[46],"obtained.":[50]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
